Let A = [2 a 0; 1 3 1; 0 5 b].... | JEE Main 2024 | Matrices

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JEE MAIN 2024

08-04-24 S1

Question

Let $A=\left[\begin{array}{lll}2 & a & 0 \\ 1 & 3 & 1 \\ 0 & 5 & b\end{array}\right]$. If $A^3=4 A^2-A-21 I$, where 1 is the identity matrix of order $3 \times 3$, then $2 a+3 b$ is equal to :

Select the correct option:

A

-10

B

-13

C

-9

D

-12

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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