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UPSC NDA 2 2017 Mathematics Solved Paper

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Question : 19

Total: 120

If a, b, c are non-zero real numbers, then the inverse of the matrix A=[

a	0	0
0	b	0
0	0	c

[
a−1 0 0
0 b−1 0
0 0 c−1
]
1
abc
[
a−1 0 0
0 b−1 0
0 0 c−1
]
1
abc
[
1 0 0
0 1 0
0 0 1
]
1
abc
[
a 0 0
0 b 0
0 0 c
]

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