Consider the matrices 3 2 1 3 –1 3 1 1 3 0 3 1 3 -2 [d A = 3 1 В D = - 3 -2 -1 4 4 Compute whenever it is possible: (a) (2 marks) A-1 (b) (2 marks)с-1 (с) (2 marks) (ЗА — І)В — СТ (d) (2 marks) det(3B) (e) (2 marks) trace(AC)"

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
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2. Consider the matrices
1
3
1 2
-1
4 0
3
2
3
-1
3
1
c = [b }]
D = [6]
1
3 -2
1
A =
В
0 3
0 3
4
Compute whenever it is possible:
(a) (2 marks) A-1
(b) (2 marks) С-1
(с) (2 marks) (ЗА — I)В — СТ
(d) (2 marks) det(3B)
(e) (2 marks) trace(AC)"
Transcribed Image Text:2. Consider the matrices 1 3 1 2 -1 4 0 3 2 3 -1 3 1 c = [b }] D = [6] 1 3 -2 1 A = В 0 3 0 3 4 Compute whenever it is possible: (a) (2 marks) A-1 (b) (2 marks) С-1 (с) (2 marks) (ЗА — I)В — СТ (d) (2 marks) det(3B) (e) (2 marks) trace(AC)"
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