3. Suppose Aab [24 6 C has the property that det A = -1. d e f Find the determinants of the following matrices and indicate briefly what property(s) of determinants leads to your answer. [1 2 3] (a) 2 4 6 a 9 C (b) A ¹A (c) a def P02 C 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
[24 6
3. Suppose A
=
a b C
d
e f
has the property that det A = -1.
Find the determinants of the following matrices and indicate
briefly what property(s) of determinants leads to your answer.
[1 2 3]
(a) 2 4
a
6
C
(b) A ¹A
(c)
def
a
12
C
3
2- a² 4-ab 6 - ac
(d)
a
b
C
d
e
f
2 4
6
1 2
3
(e)
a
b с
+a
b
C
d
0 f
0 e
0
Transcribed Image Text:[24 6 3. Suppose A = a b C d e f has the property that det A = -1. Find the determinants of the following matrices and indicate briefly what property(s) of determinants leads to your answer. [1 2 3] (a) 2 4 a 6 C (b) A ¹A (c) def a 12 C 3 2- a² 4-ab 6 - ac (d) a b C d e f 2 4 6 1 2 3 (e) a b с +a b C d 0 f 0 e 0
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