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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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