Write A^{-1} for A = [\table 2,5;1,3]

CBSE Class 12 Math 2011 Solved Paper

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Question : 5 of 29

Marks: +1, -0

Write A−1 for A = [

2	5
1	3

]

Solution:

A = [

2	5
1	3

]
A−1 =

1

|A|

[

3	−5
−1	2

]
=

1

[(2×3)−(1×5)]

[

3	−5
−1	2

]
=

1

(6−5)

[

3	−5
−1	2

]
A−1 = [

3	−5
−1	2

]

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