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Question

Assertion :The inverse of the matrix A=111123147 does not exist. Reason: The matrix A is singular

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Assertion is incorrect but Reason is correct
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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
|A|=∣ ∣111123147∣ ∣=0
A is a singular matrix.
Inverse exists iff matrix is non-singular.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
Hence, option A.

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