If A is a skew symmetric matrix, then A^2 is Option 1: Skew symmetric matrix Option 2: Null matrix Option 3: Symmetric matrix Option 4: Row matrix

Answer: Symmetric matrix. Solution: Given A^T=-A, we get (A^2)^T=(A^T)^2=(-A)^2=A^2. Since A^2 equals its own transpose, it is symmetric.

Applied Mathematics

Algebra

Easy

applied

If A is a skew symmetric matrix, then $A^2$ is

Skew symmetric matrix

Null matrix

Symmetric matrix

Row matrix

✅ Correct Option: 3

Given $A^T=-A$ , we get $(A^2)^T=(A^T)^2=(-A)^2=A^2$ .

Since $A^2$ equals its own transpose, it is symmetric.

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