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In a third order matrix aij denotes the element of the ith row and the jth column. A = ,or,or,oraij={0,fori=j1,fori>j-1,fori<j Assertion: Matrix ‘A’ is not invertible. Reason: Determinant A = 0 - Mathematics

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Question

In a third order matrix aij denotes the element of the ith row and the jth column.

A = `a_(ij) = {(0",", for, i = j),(1",", f or, i > j),(-1",", f or, i < j):}`

Assertion: Matrix ‘A’ is not invertible.

Reason: Determinant A = 0

Which of the following is correct?

Options

  • Both Assertion and Reason are true and Reason is the correct explanation for Assertion.

  • Both Assertion and Reason are true but Reason is not the correct explanation for Assertion.

  • Assertion is true and Reason is false.

  • Assertion is false and Reason is true.

MCQ

Solution

Both Assertion and Reason are true and Reason is the correct explanation for Assertion.

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