For each of the following matrices, determine a basis for each of the subspaces R(AT )

Chapter 5, Problem 1

(choose chapter or problem)

For each of the following matrices, determine a basis for each of the subspaces R(AT ), N(A), R(A), and N(AT ): (a) A = 3 4 6 8 (b) A = 1 3 1 2 4 0 ( c) A = 4 2 1 3 2 1 3 4 (d) A = 1 0 0 0 0 1 1 1 0 0 1 1 1 1 2 2

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