invertible
Showing that a transformation is invertible if and only if rref(A) is equal to the identity matrix
Uploaded: November 30, 1999 at 12:00 am
Author: khanacademy
Length: 06:37
Rating: 4.885714
Views: 8563
Tags: identity transformation invertible
Proof: Invertibility implies a unique solution to f(x)=y for all y in co-domain of f.
Uploaded: November 30, 1999 at 12:00 am
Author: khanacademy
Length: 22:41
Rating: 5.0
Views: 9128
Tags: invertible inverse domain linear algebra
Relating invertibility to being onto (surjective) and one-to-one (injective)
Uploaded: November 30, 1999 at 12:00 am
Author: khanacademy
Length: 06:31
Rating: 5.0
Views: 10120
Tags: invertibility surjective injective onto one-to-one
Using an invertible change of basis matrix to go between different coordinate systems
Uploaded: November 30, 1999 at 12:00 am
Author: khanacademy
Length: 13:34
Rating: 5.0
Views: 11310
Tags: change of basis matrix coordinate system
Array
Uploaded: November 30, 1999 at 12:00 am
Author: mathematicalmonk
Length: 14:49
Rating: 5.0
Views: 739
Tags:
Showing that (transpose of A)(A) is invertible if A has linearly independent columns
Uploaded: November 30, 1999 at 12:00 am
Author: khanacademy
Length: 12:34
Rating: 5.0
Views: 5886
Tags: invertible transpose
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