Tutorialsplanet NET Udemy - Linear Algebra and Geometry 1

1. 01 Introduction to the course/001 Introduction.mp4153.33MB
2. 02 Some basic concepts/001 Coordinate systems and coordinates in the plane and in the 3-space.mp4122.57MB
3. 02 Some basic concepts/002 Slope-intercept equations of straight lines in the plane.mp470.38MB
4. 02 Some basic concepts/003 Normal equations of planes in the 3-space.mp463.91MB
5. 02 Some basic concepts/004 Vectors.mp456.19MB
6. 02 Some basic concepts/005 Scalars.mp448.22MB
7. 02 Some basic concepts/006 Vector addition and vector scaling.mp463.5MB
8. 02 Some basic concepts/007 Linear combinations.mp4165.54MB
9. 02 Some basic concepts/008 Matrices.mp441.67MB
10. 02 Some basic concepts/009 Linear transformations.mp4123.63MB
11. 02 Some basic concepts/010 Matrix—vector multiplication.mp460.13MB
12. 02 Some basic concepts/011 Rules for computations with real numbers.mp459.47MB
13. 02 Some basic concepts/012 Pythagorean Theorem and distance between points.mp466.55MB
14. 02 Some basic concepts/013 Sine, cosine, and pythagorean identity.mp431.79MB
15. 02 Some basic concepts/014 Cosine Rule.mp455.02MB
16. 03 Systems of linear equations; building up your geometrical intuition/001 Different ways of looking at equations.mp433.63MB
17. 03 Systems of linear equations; building up your geometrical intuition/002 Solution set.mp458.54MB
18. 03 Systems of linear equations; building up your geometrical intuition/003 Linear and non-linear equations.mp463.27MB
19. 03 Systems of linear equations; building up your geometrical intuition/004 Systems of linear equations.mp426.96MB
20. 03 Systems of linear equations; building up your geometrical intuition/005 Solution sets of systems of linear equations.mp454.16MB
21. 03 Systems of linear equations; building up your geometrical intuition/006 An example of a 2 × 2 system of linear equations, a graphical solution.mp431.21MB
22. 03 Systems of linear equations; building up your geometrical intuition/007 Possible solution sets of 2 × 2 systems of linear equations.mp442.65MB
23. 03 Systems of linear equations; building up your geometrical intuition/008 Possible solution sets of 3 × 2 systems of linear equations.mp437.62MB
24. 03 Systems of linear equations; building up your geometrical intuition/009 Possible solution sets of 3 × 3 systems of linear equations.mp452.6MB
25. 03 Systems of linear equations; building up your geometrical intuition/010 Possible solution sets of 2 × 3 systems of linear equations.mp422.45MB
26. 03 Systems of linear equations; building up your geometrical intuition/011 Possible solution sets of m × n systems of linear equations.mp440.92MB
27. 04 Solving systems of linear equations; Gaussian elimination/001 Our earlier problem revisited; an algebraical solution.mp4182.33MB
28. 04 Solving systems of linear equations; Gaussian elimination/002 Three elementary operations.mp470.77MB
29. 04 Solving systems of linear equations; Gaussian elimination/003 What is Gauss—Jordan elimination and Gaussian elimination_.mp447.87MB
30. 04 Solving systems of linear equations; Gaussian elimination/004 Gauss—Jordan elimination, a 2-by-2 system with unique solution.mp438.68MB
31. 04 Solving systems of linear equations; Gaussian elimination/005 The same example solved with Gaussian elimination and back-substitution.mp430.12MB
32. 04 Solving systems of linear equations; Gaussian elimination/006 The same example solved with matrix operations; coefficient matrix and augmented.mp466.82MB
33. 04 Solving systems of linear equations; Gaussian elimination/007 How to write the augmented matrix for a given system of equations, Problem 1.mp4258.05MB
34. 04 Solving systems of linear equations; Gaussian elimination/008 How to write system of equations to a given augmented matrix, Problem 2.mp4148.11MB
35. 04 Solving systems of linear equations; Gaussian elimination/009 Gaussian elimination, Problem 3.mp4558.28MB
36. 04 Solving systems of linear equations; Gaussian elimination/010 Gaussian elimination, Problem 4.mp4376.41MB
37. 04 Solving systems of linear equations; Gaussian elimination/011 Gaussian elimination, Problem 5.mp4312.42MB
38. 04 Solving systems of linear equations; Gaussian elimination/012 Gaussian elimination, Problem 6.mp4315.33MB
39. 04 Solving systems of linear equations; Gaussian elimination/013 What happens if the system is inconsistent_.mp436.28MB
40. 04 Solving systems of linear equations; Gaussian elimination/014 Gaussian elimination, Problem 7.mp4122.99MB
41. 04 Solving systems of linear equations; Gaussian elimination/015 Preparation to the general formulation of the algorithm; REF and RREF matrices.mp4178.11MB
42. 04 Solving systems of linear equations; Gaussian elimination/016 How to read solutions from REF and RREF matrices_.mp4402.56MB
43. 04 Solving systems of linear equations; Gaussian elimination/017 General formulation of the algorithm in Gauss–Jordan elimination.mp4458.12MB
44. 04 Solving systems of linear equations; Gaussian elimination/018 Gauss–Jordan elimination, Problem 8.mp4312.68MB
45. 04 Solving systems of linear equations; Gaussian elimination/019 Gauss–Jordan elimination, Problem 9.mp4191.99MB
46. 04 Solving systems of linear equations; Gaussian elimination/020 Gaussian elimination, Problem 10.mp4112.24MB
47. 04 Solving systems of linear equations; Gaussian elimination/021 Gauss–Jordan elimination, Problem 11.mp4406.45MB
48. 04 Solving systems of linear equations; Gaussian elimination/022 Gauss–Jordan elimination, Problem 12.mp4520.49MB
49. 04 Solving systems of linear equations; Gaussian elimination/023 Gauss–Jordan elimination, Problem 13.mp4566.79MB
50. 05 Some applications in mathematics and natural sciences/001 Solving systems of linear equations in Linear Algebra and Geometry.mp494.07MB
51. 05 Some applications in mathematics and natural sciences/002 Solving systems of linear equations (Calculus) Problem 1.mp4143.97MB
52. 05 Some applications in mathematics and natural sciences/003 Solving systems of linear equations (Calculus) Problem 2.mp4206.19MB
53. 05 Some applications in mathematics and natural sciences/004 Solving systems of linear equations (Calculus) Problem 3.mp4513.66MB
54. 05 Some applications in mathematics and natural sciences/005 Solving systems of linear equations (Calculus) Problem 4.mp4572.23MB
55. 05 Some applications in mathematics and natural sciences/006 Problem 5 (Chemistry).mp4277.27MB
56. 05 Some applications in mathematics and natural sciences/007 Problem 6 (Electrical circuits).mp4270.56MB
57. 06 Matrices and matrix operations/001 Introduction to matrices.mp455.11MB
58. 06 Matrices and matrix operations/002 Different types of matrices.mp451.47MB
59. 06 Matrices and matrix operations/003 Matrix addition and subtraction, Problem 1.mp427.23MB
60. 06 Matrices and matrix operations/004 Matrix scaling, with geometrical interpretation.mp433MB
61. 06 Matrices and matrix operations/005 Matrix scaling, Problem 2.mp457.25MB
62. 06 Matrices and matrix operations/006 Matrix multiplication, with geometrical interpretation.mp4110.63MB
63. 06 Matrices and matrix operations/007 Matrix multiplication, how to do.mp441.55MB
64. 06 Matrices and matrix operations/008 Matrix multiplication, Problem 3.mp435.28MB
65. 06 Matrices and matrix operations/009 Matrix multiplication and systems of equations, Problem 4.mp449.96MB
66. 06 Matrices and matrix operations/010 Transposed matrix, definition and some examples.mp475.79MB
67. 06 Matrices and matrix operations/011 Trace of a matrix, definition and an example.mp420.22MB
68. 06 Matrices and matrix operations/012 Various matrix operations, Problem 7.mp4238.82MB
69. 06 Matrices and matrix operations/013 Various matrix operations, Problem 8.mp4287.18MB
70. 07 Inverses; Algebraic properties of matrices/001 Properties of matrix operations, an introduction.mp441.73MB
71. 07 Inverses; Algebraic properties of matrices/002 Matrix addition has all the good properties.mp432.07MB
72. 07 Inverses; Algebraic properties of matrices/003 Matrix multiplication has a neutral element for square matrices.mp4119.76MB
73. 07 Inverses; Algebraic properties of matrices/004 Matrix multiplication is associative.mp4282.36MB
74. 07 Inverses; Algebraic properties of matrices/005 Matrix multiplication is not commutative.mp443.95MB
75. 07 Inverses; Algebraic properties of matrices/006 Sometimes commutativity happens, Problem 1.mp4309.55MB
76. 07 Inverses; Algebraic properties of matrices/007 Two distributive laws.mp4163.69MB
77. 07 Inverses; Algebraic properties of matrices/008 Matrix multiplication does not have the zero-product property.mp417.53MB
78. 07 Inverses; Algebraic properties of matrices/009 There is no cancellation law for matrix multiplication.mp426.92MB
79. 07 Inverses; Algebraic properties of matrices/010 Inverse matrices; not all non-zero square matrices have an inverse.mp468.61MB
80. 07 Inverses; Algebraic properties of matrices/011 Inverse matrix for 2-by-2 matrices; non-zero determinant.mp4129.29MB
81. 07 Inverses; Algebraic properties of matrices/012 Solving matrix equations, Problem 2.mp4343.3MB
82. 07 Inverses; Algebraic properties of matrices/013 Powers of matrices; powers of diagonal matrices.mp419.24MB
83. 07 Inverses; Algebraic properties of matrices/014 Computation rules for transposed matrices.mp4139.38MB
84. 07 Inverses; Algebraic properties of matrices/015 Supplement to Video 83; Inverse of a product.mp4118.61MB
85. 07 Inverses; Algebraic properties of matrices/016 Inverse of a transposed matrix.mp426.83MB
86. 07 Inverses; Algebraic properties of matrices/017 Various rules, Problem 3.mp4223.39MB
87. 08 Elementary matrices and a method for finding A inverse/001 Inverse matrices, introduction to the algorithm.mp4406.27MB
88. 08 Elementary matrices and a method for finding A inverse/002 Algorithm for inverse matrices, an example.mp457.55MB
89. 08 Elementary matrices and a method for finding A inverse/003 Matrix inverse, Problem 1.mp4289.45MB
90. 08 Elementary matrices and a method for finding A inverse/004 Matrix inverse, Problem 2.mp4204.71MB
91. 08 Elementary matrices and a method for finding A inverse/005 Matrix equations, Problem 3.mp4250.36MB
92. 08 Elementary matrices and a method for finding A inverse/006 Matrix equations, Problem 4.mp4155.95MB
93. 08 Elementary matrices and a method for finding A inverse/007 Matrix equations, Problem 5.mp4341.83MB
94. 08 Elementary matrices and a method for finding A inverse/008 Matrix equations, Problem 6.mp4437.57MB
95. 08 Elementary matrices and a method for finding A inverse/009 Matrix inverse, Problem 7.mp4387.07MB
96. 08 Elementary matrices and a method for finding A inverse/010 Elementary operations and elementary matrices.mp471.57MB
97. 08 Elementary matrices and a method for finding A inverse/011 Inverse elementary operations and their matrices.mp435.05MB
98. 08 Elementary matrices and a method for finding A inverse/012 A really important theorem.mp467.09MB
99. 08 Elementary matrices and a method for finding A inverse/013 Four equivalent statements.mp4148.25MB
100. 09 Linear systems and matrices/001 Formally about the number of solutions to systems of linear equations.mp4348.6MB
101. 09 Linear systems and matrices/002 Two more statements in our important theorem.mp4136.69MB
102. 09 Linear systems and matrices/003 Solution of a linear system using A inverse, Problem 1.mp4334.86MB
103. 09 Linear systems and matrices/004 Determining consistency by elimination, Problem 2.mp4465.18MB
104. 09 Linear systems and matrices/005 Matrix equations, Problem 3.mp4278.16MB
105. 10 Determinants/001 Why the determinants are important.mp468.48MB
106. 10 Determinants/002 2-by-2 determinants; notation for n-by-n determinants.mp447.88MB
107. 10 Determinants/003 Geometrical interpretations of determinants.mp4104.8MB
108. 10 Determinants/004 Geometrically about the determinant of a product.mp468.66MB
109. 10 Determinants/005 Definition of determinants.mp4101.96MB
110. 10 Determinants/006 Conclusion 1_ Determinant of matrices with interchanged columns.mp454.76MB
111. 10 Determinants/007 Conclusion 2_ What happens when one column is a linear combination of others.mp4248.51MB
112. 10 Determinants/008 Conclusion 3_ About adding a multiple of a column to another column.mp472.17MB
113. 10 Determinants/009 Conclusion 4_ Determinant of kA for any k ∈ R.mp443.03MB
114. 10 Determinants/010 Elementary column operations.mp4208.11MB
115. 10 Determinants/011 How to compute 2-by-2 determinants from the definition.mp456.53MB
116. 10 Determinants/012 How to compute 3-by-3 determinants from the definition.mp482.36MB
117. 10 Determinants/013 Sarrus’ rule for 3-by-3 determinants.mp4338.86MB
118. 10 Determinants/014 Determinant of transposed matrix; row operations.mp476.32MB
119. 10 Determinants/015 Evaluating determinants by cofactor expansion along rows or columns.mp4620.22MB
120. 10 Determinants/016 Evaluating determinants by row or column reduction.mp4156.51MB
121. 10 Determinants/017 Determinant of inverse.mp431.7MB
122. 10 Determinants/018 Properties of determinants, Problem 1.mp4100.97MB
123. 10 Determinants/019 Properties of determinants, Problem 2.mp4124.14MB
124. 10 Determinants/020 Properties of determinants, Problem 3.mp4190.43MB
125. 10 Determinants/021 Determinant equations, Problem 4.mp4175.6MB
126. 10 Determinants/022 Determinant equations, Problem 5.mp4301.98MB
127. 10 Determinants/023 Determinant equations, Problem 6.mp436.97MB
128. 10 Determinants/024 Determinant equations, Problem 7.mp429.85MB
129. 10 Determinants/025 Invertible matrices, determinant test with a proof, Problem 8.mp4331.85MB
130. 10 Determinants/026 Cramer’s rule, a proof, an example, and a geometrical interpretation.mp4206.73MB
131. 10 Determinants/027 Cramer’s rule, Problem 9.mp4231.82MB
132. 10 Determinants/028 Inverse matrix, an explicit formula.mp4199.93MB
133. 10 Determinants/029 Invertible matrices, Problem 10.mp4180.07MB
134. 10 Determinants/030 Problem 11, a large determinant.mp443.08MB
135. 10 Determinants/031 Problem 12, another large determinant.mp4267.97MB
136. 10 Determinants/032 Problem 13_ a trigonometric determinant.mp4203.05MB
137. 10 Determinants/033 Problem 14_ Vandermonde determinant.mp4456.43MB
138. 11 Vectors in 2-space, 3-space, and n-space/001 Vectors, a repetition.mp455.29MB
139. 11 Vectors in 2-space, 3-space, and n-space/002 Computation rules for vector addition and scaling.mp4108.46MB
140. 11 Vectors in 2-space, 3-space, and n-space/003 Computations with vectors, Problem 1.mp4172.33MB
141. 11 Vectors in 2-space, 3-space, and n-space/004 Computations with vectors, Problem 2.mp4131.76MB
142. 11 Vectors in 2-space, 3-space, and n-space/005 Computations with vectors, Problem 3.mp4105.22MB
143. 11 Vectors in 2-space, 3-space, and n-space/006 Parallel vectors, Problem 4.mp4143.21MB
144. 11 Vectors in 2-space, 3-space, and n-space/007 Parallel vectors, Problem 5.mp4100MB