1. (a) Consider the matrices A = 2 3] 5 789 [1 4 6 and B = 21 0 without finding the product AB, find the following. (i) row 2 of AB (ii) column 4 of AB -1 3 1 3 6 -1 2 2 1 3 (iii) (AB)31, the entry in row 3 and column 1 of AB. r

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. (a) Consider the matrices A:
(b) For matrices A
-
4
7 8 9
without finding the product AB, find the following.
(i) row 2 of AB
(ii) column 4 of AB
compute following
(i) AB and BA
[12
-2
2
5 6 and B =
B
=
-2 3
3 1
0
products if they exist.
(ii) BC and CB
"
2
1
0
C
-1
1
-1
3 6
2 1 3
-[-3²
(iii) (AB)31, the entry in row 3 and column 1 of AB.
3],
(iii) CD and DC
-2 1
0 -2
and D =
3
1
1
-2
0
2
(iv) verify A(BC) = (AB)C.
Transcribed Image Text:1. (a) Consider the matrices A: (b) For matrices A - 4 7 8 9 without finding the product AB, find the following. (i) row 2 of AB (ii) column 4 of AB compute following (i) AB and BA [12 -2 2 5 6 and B = B = -2 3 3 1 0 products if they exist. (ii) BC and CB " 2 1 0 C -1 1 -1 3 6 2 1 3 -[-3² (iii) (AB)31, the entry in row 3 and column 1 of AB. 3], (iii) CD and DC -2 1 0 -2 and D = 3 1 1 -2 0 2 (iv) verify A(BC) = (AB)C.
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