If a, b, c are non-zero real numbers, then the inverse of the matrix A=[\table a,0,0;0,b,0;0,0,c] [NDA II 2017]

Correct Answer is : 1abc[a−1000b−1000c−1]

[\table a^{-1},0,0;0,b^{-1},0;0,0,c^{-1}]

1/{abc}[\table a^{-1},0,0;0,b^{-1},0;0,0,c^{-1}]

1/{abc}[\table1,0,0;0,1,0;0,0,1]

1/{abc}[\table a,0,0;0,b,0;0,0,c]

UPSC NDA 2 2017 Mathematics Solved Paper

Question : 19 of 120

Marks: +1, -0

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

]

[NDA II 2017]

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