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Question

Assertion :The Inverse of the matrix A=⎡⎢⎣42385212−45⎤⎥⎦ certainly exists. Reason: The matrix A is non singular & every non-singular matrix possesses its inverse.

A
Both (A) & (R) are individually true & (R) is correct explanation of (A),
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B
Both (A) & (R) are individually true but (R) is not the correct (proper) explanation of (A).
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C
(A)is true but (R)is false,
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D
(A)is false but (R) is true.
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Solution

The correct option is A Both (A) & (R) are individually true & (R) is correct explanation of (A),
A=4238521245
|A|=4(25+8)2(4024)+3(3260)=1760
A is non singular A1 exist.
Assertion (A) and Reason.(R) both are individually true and Reason (R) is correct explanation of Assertion(A).

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