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Q35 of 124 Page 186

If and find (3A2 – 2B + I).

Given : and


Matrices A and B are of order 2 2.


To find : (3A2 – 2B + I).


Formula used :



Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj


A2 is a matrix of order 2 x 2.


A =


A2 = =


A2 = =


3A2 = 3 × =


3A2 =


2B = 2 × =


2B =


I =


3A2 – 2B + I = + =


3A2 – 2B + I =


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Questions · 124
5. Matrices
1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 A 1 B 1 C 1 D 1 E 2 A 2 B 3 A 3 B 3 C 4 5 16 A 6 7 A 7 B 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 1 2 3 4 5 6 7 8 9 10 11 12 13 A 13 B 13 13 D 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
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