Find the determinant for the given matrix A in two ways, by using cofactor expansion along the indicated row or column. 35 A = eBook 06 40-10 1 1 -6 1 -60 40 (a) along the second row det(A) = (b) along the second column det(A) = Use the determinant to decide if T(x) = A(x) is invertible. Since det(A) --?--0, A--?--invertible, and hence T--?-- invertible.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
Problem 11CC
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Find the determinant for the given matrix A in two ways, by using cofactor expansion along the indicated row or column.
06
35
4 0 -1 0
1 1 -6 1
-6 0 40
A =
eBook
(a) along the second row.
det(A) =
(b) along the second column
det(A)
=
Use the determinant to decide if T(x) = A(x) is invertible.
Since det(A) --?--0, A --?-
invertible, and hence T --?-- invertible.
Transcribed Image Text:Find the determinant for the given matrix A in two ways, by using cofactor expansion along the indicated row or column. 06 35 4 0 -1 0 1 1 -6 1 -6 0 40 A = eBook (a) along the second row. det(A) = (b) along the second column det(A) = Use the determinant to decide if T(x) = A(x) is invertible. Since det(A) --?--0, A --?- invertible, and hence T --?-- invertible.
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