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Question

# Assertion :The matrix ⎡⎢⎣100002000030⎤⎥⎦ is a diagonal matrix Reason: A=(aij)m×m is a square matrix such that entry aij=0∀i≠j, then A is called diagonal matrix.

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 D (A) is false but (R ) is trueThe given matrix having order 3×4 ∴ Given matrix is not a square matrix. Diagonal exist only in the square matrix ∴ Assertion (A) is false.On the other side reason (R) satisfies the condition of diagonal matrix i.e. A diagonal matrix is the type of matrix which has non zero elements present in the diagonal. In other words, all other elements other than diagonal elements must be 0.∴ Assertion (A) is false but Reason (R) is true

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