For each of the following matrices, find its transpose and state whether it is symmetric, skew- symmetric or neither.
SOLUTION
Let A =
∴ AT =
∴ AT =
∴ A ≠ AT and A ≠ – AT
∴ A is neither symmetric nor skew – symmetric matrix.
For each of the following matrices, find its transpose and state whether it is symmetric, skew- symmetric or neither.
Let A =
∴ AT =
∴ AT =
∴ A ≠ AT and A ≠ – AT
∴ A is neither symmetric nor skew – symmetric matrix.