Let A = 124 316 k 3 2 .(a) Find all value(s) of k for which the matrix A fails tobe

Chapter 3, Problem 35

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Let A = 124 316 k 3 2 .(a) Find all value(s) of k for which the matrix A fails tobe invertible.(b) In terms of k, determine the volume of the parallelepipeddetermined by the row vectors of the matrixA. Is that the same as the volume of the parallelepipeddetermined by the column vectors of the matrix A?Explain how you know this without any calculation.

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