CUET Preparation Today
For any 2 × 2 matrix A, if $A (adj\, A) =\begin{bmatrix}10&0\\0&10\end{bmatrix}$, then $|A|$ is equal to |
20 100 10 0 |
10 |
We know that for any square matrix A. $A (adj\, A) = |A|I$ $∴A (adj\, A) =\begin{bmatrix}10&0\\0&10\end{bmatrix}=10I_2⇒|A|I_2=10I_2⇒|A|=10$ |
