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Question

Mathematics Question on Matrix

A. If A and B are two invertible matrices, then (AB)-1 = A-1 B-1
B. Every skew-symmetric matrix of odd order is invertible
C. If A is non-singular matrix, then (AT)-1 = (A-1)T
D. If A is an involutory matrix, then (I+A) (I-A) = 0
E. A diagonal matrix is both an upper triangular and a lower triangular
Choose the correct answer from the options given below :

A

A, B, C, E only

B

B, D, E only

C

A, D, E only

D

C, D, E only

Answer

C, D, E only

Explanation

Solution

The correct answer is(D): C, D, E only