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0:08:31
Orthogonal Diagonalization
0:06:57
Showing Similarity when A~D and B~D
0:15:15
Change of Basis (using coordinate isomorphism)
0:05:29
Similar Matrices, Properties & Proofs
0:09:25
Diagonalization (And what actually are Eigenvalues, Eigenvectors and Eigenspaces?)
0:05:52
Converting to an Orthogonal Basis! How 'nice'
0:05:06
Orthogonal Projections (featuring U + U perp)
0:06:44
Orthogonality? Normalization? Expansion Theorem!
0:06:10
Composition of linear transformations, Finding T INVERSE
0:09:39
Isomorphisms? Coordinate Isomorphisms? Proving linearity & bijection!
0:07:49
Injectivity, Surjectivity & Bijectivity made easy
0:10:01
Kernel, Image & Dimension of Transformations Explained!
0:07:49
What's a LINEAR transformation? Linear operator? Matrix of a transformation?
0:04:24
Row vs Column space of a matrix
0:08:32
Carving & Enlarging Set to find a Basis (with the independent + dependent lemma)
0:07:11
Basis, Standard bases, Dimension? (& finding multiple bases)
0:03:25
Linearly Independent or Dependent?
0:11:18
Span! Why is it the smallest subspace? When are 2 spans equal?
0:05:08
Subspace Test Shortcut (and examples)
0:06:24
Extra Vector Space Properties & Proofs
0:09:50
Vector Space Axioms Walkthrough & examples
0:09:37
Is it a Vector Space? (featuring crazy addition and multiplication rule)
0:12:47
Crochet LETTERS (Pt.1 A-G)
0:07:16
Working with NEGATIVES (most common problem for math students)
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