Compute the determinant of the matrix A, below, by using row operations to transform A to an upper-triangular matrix B. Then express the determinant of Alas a multiple k of the determinant of B, and use this to compute the determinant of A. 4 -2 7 0 1 -7 1 A = 10 8 -3 5 20 14 9 -2 0 0 0 B = | 0 0 0 0 0 0 det(A) = k•det(B) %3D = 0·0

Compute the determinant of the matrix A, below, by using row operations to transform A to an upper-triangular matrix B. Then express the determinant of Alas a multiple k of the determinant of B, and use this to compute the determinant of A. 4 -2 7 0 1 -7 1 A = 10 8 -3 5 20 14 9 -2 0 0 0 B = | 0 0 0 0 0 0 det(A) = k•det(B) %3D = 0·0

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.1: The Determinants Of A Matrix

Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...

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