Let A, B, C and D be the matrices defined below: 0 -2 √√3 A: +-67²- | √3 0 -2 2 3 0 (a) Compute det (B) - det (BT): 0 (b) Compute det (C100) - det(C)+det(A-¹): (c) Compute det (BC) - det (B) det (C)+det(A¹) - det (D³): Note: If a fraction occurs in your answer, type a/b to represent -1 0 -1 0 -10 0 1-2 √3 0 0 0 0 -1 0 00 .-1 0 $+1.0 [ √2

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 76E
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Let A, B, C and D be the matrices defined below:
0 1
-2 √3
-1
-2
√3 0
-------0-
A=
,B= √3
-2 ,C= -1
√2+1
D=
0 0 -1
2 3
-1
√2
-1
0
(a) Compute det (B) - det (BT): 0
0
(b) Compute det (C100) - det (CD) +det(A-¹):
(c) Compute det (BC) - det (B) det (C)+det(A¹) - det (D³):
Note: If a fraction occurs in your answer, type a/b to represent
-2
0
0 1
0
0 0
Transcribed Image Text:Let A, B, C and D be the matrices defined below: 0 1 -2 √3 -1 -2 √3 0 -------0- A= ,B= √3 -2 ,C= -1 √2+1 D= 0 0 -1 2 3 -1 √2 -1 0 (a) Compute det (B) - det (BT): 0 0 (b) Compute det (C100) - det (CD) +det(A-¹): (c) Compute det (BC) - det (B) det (C)+det(A¹) - det (D³): Note: If a fraction occurs in your answer, type a/b to represent -2 0 0 1 0 0 0
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