1 1 0 -1 1 1 2. (a) Let A = 1 Using row operations, compute the determinant of A. -1 2 4 1 3 1 (b) Let B and C be 3×3 matrices such that det B (ii) det(4C) = 5 and detC = -2. Compute the following: (i) det(B-1) (iii) det(B"C) (iv) det(C“) (v) det(C-'BC)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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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1
0 1 0
-1
1
1
2. (a) Let A =
Using row operations, compute the determinant of A.
2 -1
2 4
1
3 1
(b) Let B and C be 3x3 matrices such that det B
(ii) det(4C)
5 and detC = -2. Compute the following:
(i) det(B¯1)
(iii) det(B"C)
(iv) det(C*)
(v) det(C-BC)
Transcribed Image Text:1 0 1 0 -1 1 1 2. (a) Let A = Using row operations, compute the determinant of A. 2 -1 2 4 1 3 1 (b) Let B and C be 3x3 matrices such that det B (ii) det(4C) 5 and detC = -2. Compute the following: (i) det(B¯1) (iii) det(B"C) (iv) det(C*) (v) det(C-BC)
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