Practicing Success
Practicing Success
CUET Preparation Today
Let A be a square matrix such that $A(adj. A) =\begin{bmatrix}4&0&0\\0&4&0\\0&0&4\end{bmatrix}$ then find the values of $|adj(adj. A)|$ |
250 254 258 256 |
256 |
We know that $A(adj. A) = |A|I_n$ $∴|A|=4$ $|adj. (adj. A)| = |A|^{(n-1)^2} = 4^4 = 256$ $[∵ n=3]$ |
