Suppose A is the same matrix as the previous problem. (4) Find orthonormal basis for each of the four fundamental sub- spaces (row space, column space, null space, left null space) associated to the linear transformation A: R¹ R³.

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Suppose A is the same matrix as the previous problem.
(4) Find orthonormal basis for each of the four fundamental sub-
spaces (row space, column space, null space, left null space) associated
to the linear transformation A: R → R³.
(5) Verify three parts of the Fundamental Theorem of Linear Algebra
for A.
Transcribed Image Text:Suppose A is the same matrix as the previous problem. (4) Find orthonormal basis for each of the four fundamental sub- spaces (row space, column space, null space, left null space) associated to the linear transformation A: R → R³. (5) Verify three parts of the Fundamental Theorem of Linear Algebra for A.
A =
1-1
3 3
1 1
3 3
Transcribed Image Text:A = 1-1 3 3 1 1 3 3
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