B-1 =₂ " 2 34 a) If A-¹ = 3 7 3 both sides by the inverse of an appropriate matrix). b= and ABx = b, solve for x. (Hint: Multiply

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6 7
a) If A-¹ =
[3]
3 7
both sides by the inverse of an appropriate matrix).
B =
c) Let E =
of course.
, B-
0
0
-5
A = -a
b) Use cofactor expansion along an appropriate row or column to compute he determinant of
-2 0
b 2
с e
?
=₂
12
34
"
B =
b =
and ABx=b, solve for x. (Hint: Multiply
1 0 0
a
1 0 . Which one of the following matrices is the inverse of E? Justify
-b 0 1
0 0
1 0
b01
definition of the inverse of a matrix M?
1 0 0
1/a 1 0 or C=
-1/6 0 1
0 1/a
0 1-1/b ? Hint: What is the
00
1
Transcribed Image Text:6 7 a) If A-¹ = [3] 3 7 both sides by the inverse of an appropriate matrix). B = c) Let E = of course. , B- 0 0 -5 A = -a b) Use cofactor expansion along an appropriate row or column to compute he determinant of -2 0 b 2 с e ? =₂ 12 34 " B = b = and ABx=b, solve for x. (Hint: Multiply 1 0 0 a 1 0 . Which one of the following matrices is the inverse of E? Justify -b 0 1 0 0 1 0 b01 definition of the inverse of a matrix M? 1 0 0 1/a 1 0 or C= -1/6 0 1 0 1/a 0 1-1/b ? Hint: What is the 00 1
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