Suppose the columns of a matrix A= a₁ apare linearly independent. Explain why (a,.. tomm Choose the correct answer below

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Suppose The Columns Of A Matrix A A Apare Linearly Independent Explain Why A Tomm Choose The Correct Answer Below 1 (23.76 KiB) Viewed 11 times

Suppose the columns of a matrix A= a₁ apare linearly independent. Explain why (a,.. tomm Choose the correct answer below. ap) is a basis for Col A. GECOD Next question ***** OA. Since Col A is the set of all linear combinations of a,.a. the pivot columns of matrix A do not form a basis for Col A. Therefore, (a, ap) is a basis for Col A. OB. Since Col A is the set of all linear combinations of a,. ap. the set (a₁. ap) spans Col A. Because (a,. ap) is linearly dependent, it is a basis for Col A. OC. Since Col A is the set of all linear combinations of a.. OD. Since Col A is the set of all linear combinations of a.. ap, the pivot columns of matrix A form a basis for Col A. Therefore, (a,. Hom ap) is a basis for Col A ap. the set (1. ap) spans Col A. Because (aap) is also linearly independent, it is a basis for Col A.