5. Consider the following four matrices: ab c ba 2a 2b 2c a-3c b+Sa A= d e f #ME B-f d de f D d-3f e+Sd f 8 h 8-34 h+Sg i If det (A) = 3, find the value of each of the following determinants. a. det (B) b. det (C) c. det (D) d. det (4AC-¹)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 6E
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5. Consider the following four matrices:
ab c
ba
2a 2b 2c
4= d e f
a-3c b+5a c
d-3f e+Sd S
C-²3
с d e f
Be d
h g
. D=
ghi
8
8-31 h+5g i
If det (A) = 3, find the value of each of the following determinants.
a. det (B)
b. det (C)
c. det (D)
d. det (4AC-¹)
Transcribed Image Text:5. Consider the following four matrices: ab c ba 2a 2b 2c 4= d e f a-3c b+5a c d-3f e+Sd S C-²3 с d e f Be d h g . D= ghi 8 8-31 h+5g i If det (A) = 3, find the value of each of the following determinants. a. det (B) b. det (C) c. det (D) d. det (4AC-¹)
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