CUET Preparation Today
If A is an invertible symmetric matrix, then $A^{-1}$ is |
a symmetric matrix a skew-symmetric matrix neither a symmetric matrix nor a skew-symmetric always an identity matrix |
a symmetric matrix |
The correct answer is Option (1) → a symmetric matrix For an invertible symmetric matrix $A$, $A^T = A$. $(A^{-1})^T = (A^T)^{-1} = A^{-1}$, hence $A^{-1}$ is also symmetric. |
