Lk -8 k - 11 6. Assume that A and B are n x n matrices with det A = 3 and det B = -2. Find the indicated determinants. (a) det(B-¹A) (b) det(3BT) (c) det(AAT) (d) det(BA)

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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Question
-8
k-1]
6. Assume that A and B are n x n matrices with det A = 3 and det B = -2. Find the indicated
determinants.
(a) det(B-¹A)
(b) det(3BT)
(c) det(AAT)
(d) det(BA)
Transcribed Image Text:-8 k-1] 6. Assume that A and B are n x n matrices with det A = 3 and det B = -2. Find the indicated determinants. (a) det(B-¹A) (b) det(3BT) (c) det(AAT) (d) det(BA)
3. Compute the determinant of A using cofactor expansion along any row or column.
-1 0 31
2
5
26
A =
0
1
[1
4 2 1
4 Find the determinants of motrices acom
that
00
Transcribed Image Text:3. Compute the determinant of A using cofactor expansion along any row or column. -1 0 31 2 5 26 A = 0 1 [1 4 2 1 4 Find the determinants of motrices acom that 00
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