Let A = [aᵢⱼ] be a real matrix of order 3×3... | Matrices | JEE Main

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JEE MAIN_22-

JULY-2021,S2

Question

Let $A=\left[a_i\right]$ be a real matrix of order $3 \times 3$, such that $a_{i 1}+a_{i 2}+a_{i 3}=1$, for $i=1,2,3$. Then, the sum of all the entries of the matrix $\mathrm{A}^3$ is equal to.

Select the correct option:

A

2

B

1

C

3

D

9

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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