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Linear Algebra and Its Applications
· Problem 2.4.23
Vector Spaces — Gilbert Strang
Mathematics · four-fundamental-subspaces
Problem
Suppose the 3 by 3 matrix
A
A
A
is invertible. Write bases for the four subspaces for
A
A
A
, and also for the 3 by 6 matrix
B
=
[
A
A
]
B = [A \ A]
B
=
[
A
A
]
.
Related theory
The Four Fundamental Subspaces
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