CUET Preparation Today
Let A be a non-singular matrix of order 3 and $|A|= 15$, then $|adj\, A|$ is equal to |
15 45 225 150 |
225 |
The correct answer is Option (3) → 225 Given $A$ is a non-singular matrix of order $3$ $|A|=15$ For an $n\times n$ matrix $|\text{adj}\,A|=|A|^{\,n-1}$ Here $n=3$ $|\text{adj}\,A|=|A|^2$ $=15^2$ $=225$ The value of $|\text{adj}\,A|$ is $225$. |
