esk Copilot 1 + 8 2 of 4 (D A 1 1 1 1 1 2 -1 5 3 6 4. Consider A = with a corresponding rref(A) = -1 2 -41 -2 4 -2 10 9 15 [1 0 2 0 1 01-10 0 0 0 1 1 0 0 0 0 0 ⚫ State a basis for the column space of A. Choose one of the columns from A not selected as part of the basis and show how it is a linear combination of your basis. ง 5. Using the same matrix A as in the previous problem: State a basis for the mull space (kernel) of A. • Give an example of a nonzero vector in the null space that is not one of your basis vectors.

esk Copilot 1 + 8 2 of 4 (D A 1 1 1 1 1 2 -1 5 3 6 4. Consider A = with a corresponding rref(A) = -1 2 -41 -2 4 -2 10 9 15 [1 0 2 0 1 01-10 0 0 0 1 1 0 0 0 0 0 ⚫ State a basis for the column space of A. Choose one of the columns from A not selected as part of the basis and show how it is a linear combination of your basis. ง 5. Using the same matrix A as in the previous problem: State a basis for the mull space (kernel) of A. • Give an example of a nonzero vector in the null space that is not one of your basis vectors.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices

Problem 28EQ

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