Question

If $A$ is a square matrix, then $A$ is symmetric if

• A. $A^2=A$
• B. $A^2=I$
• C. $A^t=A$
• D. $A^t=-A$

Answer 1

The correct option is C $A^t=A$

Given $A$ to be a square matrix.

Now according to the definition of the symmetric matrix, a matrix is said to be symmetric if $A^t=A$, i.e. transpose of the matrix is equal to the matrix.