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(a) A is diagonal matrix
(b) A is zero matrix
(c) A is scalar matrix
(d) A is square matrix
If a matrix A is symmetric, thenAT = A
If a matrix A is skew symmetric, thenAT = −A
For both conditions to hold:A = −A
⇒ 2A = 0⇒ A = 0
Therefore, the matrix must be a zero matrix.
Correct Answer: (b) A is zero matrix
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