denote the columns of the matrix A, where a. Explain why

Chapter 4, Problem 39E

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QUESTION:

denote the columns of the matrix A, where a. Explain why a3 and a5 are in the column space of B.b. Find a set of vectors that spans Nul A.c. Let be defined by . Explain why T is neither one-to-one nor onto.

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QUESTION:

denote the columns of the matrix A, where a. Explain why a3 and a5 are in the column space of B.b. Find a set of vectors that spans Nul A.c. Let be defined by . Explain why T is neither one-to-one nor onto.

ANSWER:

Solution 39 EStep 1 of 6Consider the matrix and .Here, denote the columns of the matrix A.a) The objective is to explain the reason for the column space of B containing the columns .For this, find the reduced row-echelon form of A.

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