M 340L HW 8 Solutions

11 4 12 1 2 consequently the statement

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Unformatted text preview: les the determinant of the new matrix by the same amount. = (1)(1 − 4) + (1)(2 − 1) = −2 . Consequently, the statement is Consequently, TRUE . det[B 5 ] = (−2)5 = −32 . 006 005 10.0 points For every 3 × 3 matrix a11 a12 A = a21 a22 a31 a32 and scalar k , ka11 a21 det a31 10.0 points The matrix 50 A = 1 −3 05 a13 a23 a33 is invertible. True or False? ka12 a22 a32 True or False? ka13 a23 = k det[A] . a33 1. TRUE 2. FALSE correct Explanation: −1 −2 3 cruz (fmc326) – HW08 – gilbert – (56540) The matrix A will be invertible if and only if det(A) = 0. Now 5 1 0 det(A) = −1 −2 3 1 −3 −2 − 05 3 −3 5 =5 0 −3 5 But then 1 0...
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This document was uploaded on 03/16/2014 for the course M 340L at University of Texas.

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