If A is non-identity invertible symmetric matrix, then $A^{-1}$ is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Symmetric matrix
A is invertible
$⇒ AA^T=I$
so $A^{-1}=A^T$
A is symmetric
$⇒A^{-1}$ is symmetric
If A is non-identity invertible symmetric matrix, then $A^{-1}$ is :
Correct answer: option 1
The correct answer is Option (1) → Symmetric matrix
A is invertible
$⇒ AA^T=I$
so $A^{-1}=A^T$
A is symmetric
$⇒A^{-1}$ is symmetric