Q-2: a b C d e a) Let M be a 4 x 4 matrix where M = fgh i j k such that |M|= 5. m no P. Compute determinants of the following matrices F and G. 30001 F = 0 a b с а 2 b C d e e 1 f g h and G -a f-bg-c d h-d = |i - - mj-n k - 0 l-p i 0 j k l m n Р Lm 0 n PJ [1 1 213 b) Consider a linear system whose augmented matrix is of the form 1 234 1 3 3 alb (i) (ii) For what values of a and b will the system has infinitely many solutions? For what values of a and b will the system be inconsistent?

Elementary Linear Algebra (MindTap Course List)
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Chapter3: Determinants
Section3.1: The Determinants Of A Matrix
Problem 70E: The determinant of a 22 matrix involves two products. The determinant of a 33 matrix involves six...
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Q-2:
a
b
C d
e
a) Let M be a 4 x 4 matrix where M =
fgh
i
j k
such that |M|= 5.
m no P.
Compute determinants of the following matrices F and G.
30001
F
=
0
a
b
с
а
2 b C
d
e
e
1 f g
h and G
-a f-bg-c
d
h-d
=
|i -
-
mj-n k
- 0
l-p
i
0 j
k
l
m
n
Р
Lm 0 n
PJ
[1
1
213
b) Consider a linear system whose augmented matrix is of the form 1
234
1
3
3 alb
(i)
(ii)
For what values of a and b will the system has infinitely many solutions?
For what values of a and b will the system be inconsistent?
Transcribed Image Text:Q-2: a b C d e a) Let M be a 4 x 4 matrix where M = fgh i j k such that |M|= 5. m no P. Compute determinants of the following matrices F and G. 30001 F = 0 a b с а 2 b C d e e 1 f g h and G -a f-bg-c d h-d = |i - - mj-n k - 0 l-p i 0 j k l m n Р Lm 0 n PJ [1 1 213 b) Consider a linear system whose augmented matrix is of the form 1 234 1 3 3 alb (i) (ii) For what values of a and b will the system has infinitely many solutions? For what values of a and b will the system be inconsistent?
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