The document titled Square of A is symmetric explores the symmetry of the square of matrix A. It delves into the mathematical properties and characteristics of the squared matrix, highlighting its symmetrical nature.

If A is symmetric or skew symmetric then we show that square of A is symmetric ( A² is symmetric).

Proof.

Consider A is symmetric Then ” A transpose = A “……… (1)

Now A ² will be symmetric If (A ² ) transpose = A ²

Let A be skew symmetric then A transpose = -A

Now A ² will be symmetric if ( A ² ) transpose = A ²