a b с d₁ e f g h a) Let M be a 4 × 4 matrix where M = i j k l such that |M| = 5. mn 0 p] Compute determinants of the following matrices F and G. b F 0 30001 a 2 b с d = e 1 f g h and G i 0 j k l m 0 n p. = a C d e - a f-bg. - ch-d i-m j-n k-o l-p m no Р [1 1 2131 b) Consider a linear system whose augmented matrix is of the form 1234 1 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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 27E
Question

solve 132 q3

a
b с d₁
e
f g h
a) Let M be a 4 × 4 matrix where M =
i
j k l
such that |M| = 5.
mn 0 p]
Compute determinants of the following matrices F and G.
b
F
0
30001
a
2 b с d
=
e
1 f
g
h and G
i
0 j
k
l
m
0 n
p.
=
a
C
d
e
-
a f-bg.
-
ch-d
i-m j-n k-o l-p
m
no
Р
[1 1 2131
b) Consider a linear system whose augmented matrix is of the form 1234
1 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:a b с d₁ e f g h a) Let M be a 4 × 4 matrix where M = i j k l such that |M| = 5. mn 0 p] Compute determinants of the following matrices F and G. b F 0 30001 a 2 b с d = e 1 f g h and G i 0 j k l m 0 n p. = a C d e - a f-bg. - ch-d i-m j-n k-o l-p m no Р [1 1 2131 b) Consider a linear system whose augmented matrix is of the form 1234 1 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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