Home Maths Matrices and Determinants General Inverse of diagonal matrix (if it exists) is…
Maths Matrices and Determinants General Single Correct MCQ
Published on: August 12, 2026

Inverse of diagonal matrix (if it exists) is a

A
Skew-symmetric matrix
B
Diagonal matrix
C
Non invertible matrix
D
None of these

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The correct answer is:
B

Let

As A is invertible, therefore

⇒ ⇒ ⇒ ⇒ for i = 1, 2, 3…..n

Here, cofactor of each non diagonal entry is 0 and cofactor of

which is a diagonal matrix

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