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Find det(A). No cofactor expansions are required. 4 0 0 0 15 -1 0 0 A = 21 13 1 0 8 23 4 3

Find det(A). No cofactor expansions are required. 4 0 0 0 15 -1 0 0 A = 21 13 1 0 8 23 4 3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find det(A). No cofactor expansions are required. 0 0 o 15 -1 0 0 A = 21 13 1 0 4 8 23 4 3 Explain your answer. Since A is triangular, det(A) = (4)(-1)(1)(3) = -12, the product along the diagonal. Since A is triangular, det(A) = 3, the last entry in the matrix. Since A has 2 rows or 2 columns which are identical, det(A) = 0. Since A is triangular, det(A) = 4 + (-1) + 1+ 3 = 7, the sum along the diagonal. Since A has a row or column which contains all zeros, det(A) = 0.
Transcribed Image Text:Find det(A). No cofactor expansions are required. 0 0 o 15 -1 0 0 A = 21 13 1 0 4 8 23 4 3 Explain your answer. Since A is triangular, det(A) = (4)(-1)(1)(3) = -12, the product along the diagonal. Since A is triangular, det(A) = 3, the last entry in the matrix. Since A has 2 rows or 2 columns which are identical, det(A) = 0. Since A is triangular, det(A) = 4 + (-1) + 1+ 3 = 7, the sum along the diagonal. Since A has a row or column which contains all zeros, det(A) = 0.
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