Q2] a) Write each (PRODUCT) of the following as a single matrix: 1 -1 [1 -1 0 2 [2 iii. -2 -1 -2 5 1 i. 1 1 -2| -1 -1 3 0 -1 2 1 -1-1 -2 52 -2 -1 1 1 -2 4 1 ii. [3 - 2 21 2 iv. -1 -1 3 -2 -2 -2 4 || 1 -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q2] a) Write each (PRODUCT) of the following as a single matrix:
2
-2 -1
-1
-2
[3
-1
0 2
2
1
1
i.
iii.
1
1
-2
-1
-1
3
-1
1
-1
-1
-2 4
1
--1
-2
52 -2
-1
ii.
[3 - 2
2] 2
iv.
-1
-1
3
1
1
-2
-1
-2
4 || 1
-1
b) Find the inverse, if it exists, of the following matrices:
0 -2 -3
[1 2 3]
[1 2 -1]
[1 3
(iii)
-1 0 4
13 3
(iv)
-3 4 5
[2 -1]
0 2 2
-4 2 6
-1 -2 -2
Transcribed Image Text:Q2] a) Write each (PRODUCT) of the following as a single matrix: 2 -2 -1 -1 -2 [3 -1 0 2 2 1 1 i. iii. 1 1 -2 -1 -1 3 -1 1 -1 -1 -2 4 1 --1 -2 52 -2 -1 ii. [3 - 2 2] 2 iv. -1 -1 3 1 1 -2 -1 -2 4 || 1 -1 b) Find the inverse, if it exists, of the following matrices: 0 -2 -3 [1 2 3] [1 2 -1] [1 3 (iii) -1 0 4 13 3 (iv) -3 4 5 [2 -1] 0 2 2 -4 2 6 -1 -2 -2
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