For each of the following matrices, find its transpose and state whether it is symmetric, skew- symmetric or neither.
SOLUTION
Let A =
∴ AT =
∴ AT =
∴ AT = – A i.e. A = – AT
∴ A is a 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 =
∴ AT = – A i.e. A = – AT
∴ A is a skew-symmetric matrix.