Use the below information, together with the row and column properties of determinants, to compute determinants of the following matrices. [2 -1 3 If A = 4 -1 then JA| = 2. 2 -3 4 2 -1 3 (a) 8 -2 12 2 -3 4 2 -1 3 (b) 2 0 3 2 -3 4 4 -2 (c) -4 1 -6 10 -15 20

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 20EQ
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Use the below information, together with the row and column properties of determinants, to compute determinants of the following matrices.
2 -1
3
If A =
4 -1
6
then JA| = 2.
2 -3
4
2 -1
3
(a)
8 -2 12
2 -3
4
2 -1 3
(b)
2
0 3
2 -3 4.
4
-2
6.
(c)
-4
1 -6
10 -15 20
Transcribed Image Text:Use the below information, together with the row and column properties of determinants, to compute determinants of the following matrices. 2 -1 3 If A = 4 -1 6 then JA| = 2. 2 -3 4 2 -1 3 (a) 8 -2 12 2 -3 4 2 -1 3 (b) 2 0 3 2 -3 4. 4 -2 6. (c) -4 1 -6 10 -15 20
Simplify the determinants of the following matrices by creating zeros in a single row or column, then evaluate the determinant by expanding in terms of that row or column.
1 2 -3
(a)
3
1
3
2 4
3
5
3
(b)
4
9.
2 -3
4
4
(c)
4
-1
5 -1
Transcribed Image Text:Simplify the determinants of the following matrices by creating zeros in a single row or column, then evaluate the determinant by expanding in terms of that row or column. 1 2 -3 (a) 3 1 3 2 4 3 5 3 (b) 4 9. 2 -3 4 4 (c) 4 -1 5 -1
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