Find the determinant for the given matrix A in two ways, by using cofactor expansion along the indicated row or column. 3120 1301 6301 0 130 (a) along the first row det(A) = (b) along the third column det(A) =

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 30T
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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.
3120
1301
A =
6301
0130
(a) along the first row
det(A) =
(b) along the third column
det(A) =
Use the determinant to decide if T(x) = A(x) is invertible.
Since det(A) -7 0, A -7 invertible, and hence T-2 v invertible.
eBook
Find the determinant for the given matrix A in two ways, by using cofactor expansion along the indicated row or column.
0 4 9 3
50-1 0
A =
11-4 1
-4 0
5 0
(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 -7- v invertible, and henceT-7- v Invertible.
eBook
Transcribed Image Text:Find the determinant for the given matrix A in two ways, by using cofactor expansion along the indicated row or column. 3120 1301 A = 6301 0130 (a) along the first row det(A) = (b) along the third column det(A) = Use the determinant to decide if T(x) = A(x) is invertible. Since det(A) -7 0, A -7 invertible, and hence T-2 v invertible. eBook Find the determinant for the given matrix A in two ways, by using cofactor expansion along the indicated row or column. 0 4 9 3 50-1 0 A = 11-4 1 -4 0 5 0 (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 -7- v invertible, and henceT-7- v Invertible. eBook
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