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Vector Transformations |
Linear Algebra |
14m 19s |
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Linear Transformations |
Linear Algebra |
13m 52s |
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Matrix Vector Products as Linear Transformations |
Linear Algebra |
17m 04s |
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Linear Transformations as Matrix Vector Products |
Linear Algebra |
17m 32s |
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Image of a subset under a transformation |
Linear Algebra |
18m 11s |
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im(T): Image of a Transformation |
Linear Algebra |
16m 37s |
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Preimage of a set |
Linear Algebra |
05m 23s |
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Preimage and Kernel Example |
Linear Algebra |
15m 23s |
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Sums and Scalar Multiples of Linear Transformations |
Linear Algebra |
15m 09s |
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More on Matrix Addition and Scalar Multiplication |
Linear Algebra |
10m 41s |
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Linear Transformation Examples: Scaling and Reflections |
Linear Algebra |
15m 13s |
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Linear Transformation Examples: Rotations in R2 |
Linear Algebra |
17m 52s |
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Rotation in R3 around the X-axis |
Linear Algebra |
12m 18s |
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Unit Vectors |
Linear Algebra |
06m 59s |
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Introduction to Projections |
Linear Algebra |
14m 37s |
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Expressing a Projection on to a line as a Matrix Vector prod |
Linear Algebra |
16m 40s |
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Compositions of Linear Transformations 1 |
Linear Algebra |
12m 21s |
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Compositions of Linear Transformations 2 |
Linear Algebra |
16m 30s |
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Matrix Product Examples |
Linear Algebra |
18m 14s |
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Matrix Product Associativity |
Linear Algebra |
11m 59s |
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Distributive Property of Matrix Products |
Linear Algebra |
09m 52s |
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Introduction to the inverse of a function |
Linear Algebra |
18m 53s |
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Proof: Invertibility implies a unique solution to f(x)=y |
Linear Algebra |
18m 41s |
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Surjective (onto) and Injective (one-to-one) functions |
Linear Algebra |
09m 31s |
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Relating invertibility to being onto and one-to-one |
Linear Algebra |
06m 31s |
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Determining whether a transformation is onto |
Linear Algebra |
25m 51s |
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Exploring the solution set of Ax=b |
Linear Algebra |
16m 34s |
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Matrix condition for one-to-one trans |
Linear Algebra |
19m 59s |
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Simplifying conditions for invertibility |
Linear Algebra |
06m 37s |
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Showing that Inverses are Linear |
Linear Algebra |
06m 25s |
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Deriving a method for determining inverses |
Linear Algebra |
18m 00s |
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Example of Finding Matrix Inverse |
Linear Algebra |
06m 22s |
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Formula for 2×2 inverse |
Linear Algebra |
18m 20s |
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3×3 Determinant |
Linear Algebra |
10m 01s |
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nxn Determinant |
Linear Algebra |
18m 40s |
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Determinants along other rows and cols |
Linear Algebra |
09m 03s |
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Rule of Sarrus of Determinants |
Linear Algebra |
07m 18s |
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Determinant when row multiplied by scalar |
Linear Algebra |
13m 20s |
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(correction) scalar muliplication of row |
Linear Algebra |
02m 52s |
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Determinant when row is added |
Linear Algebra |
16m 55s |
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Duplicate Row Determinant |
Linear Algebra |
16m 19s |
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Determinant after row operations |
Linear Algebra |
10m 25s |
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Upper Triangular Determinant |
Linear Algebra |
08m 07s |
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Simpler 4×4 determinant |
Linear Algebra |
09m 13s |
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Determinant and area of a parallelogram |
Linear Algebra |
21m 37s |
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