# For each of the following matrices, find its transpose and state whether it is symmetric, skew- symmetric or neither. [251-546-1-63] - Mathematics and Statistics

Sum

For each of the following matrices, find its transpose and state whether it is symmetric, skew- symmetric or neither.

[(2, 5, 1),(-5, 4, 6),(-1, -6, 3)]

#### Solution

Let A = [(2, 5, 1),(-5, 4, 6),(-1, -6, 3)]

∴ AT = [(2, -5, -1),(-5, 4, -6),(1, 6, 3)]

∴ AT = [(-2, 5, 1),(-5, -4, 6),(-1, -6, -3)]

∴ A ≠ AT and A ≠ – AT
∴ A is neither symmetric nor skew – symmetric matrix.

Concept: Algebra of Matrices
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