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a) Let a, b, c and d be the first four digits in your code number. What is the determinant of the following matrices? (i) (ii) (iii) b a+1_b+1) a a b C a +1 b+1 c+1 a+2 b+2 c+2) a b C d a +1 b+1 c+1 d+1 a+2 b+2 c+2 d+2 a+3 b+3 c+3 d+3) Make a general statement about matrices of this form, and give a brief justification, using vecto space concents especially linearly independence as to why you claim your statement to be true

a) Let a, b, c and d be the first four digits in your code number. What is the determinant of the following matrices? (i) (ii) (iii) b a+1_b+1) a a b C a +1 b+1 c+1 a+2 b+2 c+2) a b C d a +1 b+1 c+1 d+1 a+2 b+2 c+2 d+2 a+3 b+3 c+3 d+3) Make a general statement about matrices of this form, and give a brief justification, using vecto space concents especially linearly independence as to why you claim your statement to be true

Elementary Linear Algebra (MindTap Course List)
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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A is 1, B is 2, C is 9, D is 3

(a) Let a, b, c and d be the first four digits in your code number. What is the determinant of the following matrices? (i) (ii) (iii) a b a+1 b+1 b b+1 a+2 b+2 a a +1 a a +1 a+2 a +3 C c+1 c+2 b C d b+1 c+1 d +1 b+2 c+2 d+2 b+3 c+3 d +3, Make a general statement about matrices of this form, and give a brief justification, using vector space concepts, especially linearly independence, as to why you claim your statement to be true.
Transcribed Image Text:(a) Let a, b, c and d be the first four digits in your code number. What is the determinant of the following matrices? (i) (ii) (iii) a b a+1 b+1 b b+1 a+2 b+2 a a +1 a a +1 a+2 a +3 C c+1 c+2 b C d b+1 c+1 d +1 b+2 c+2 d+2 b+3 c+3 d +3, Make a general statement about matrices of this form, and give a brief justification, using vector space concepts, especially linearly independence, as to why you claim your statement to be true.
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