Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

The number of all possible matrices of order 2 × 2 with each entry 0, 1 or 2 are.

Options:

64

81

8

9

Correct Answer:

81

Explanation:

The correct answer is Option (2) → 81 **

Each entry of a $2\times 2$ matrix can be $0$, $1$, or $2$ → 3 choices.

Total entries = 4.

Total number of possible matrices:

$3^{4}=81$

The total number of such matrices is 81.