Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

The number of all possible matrices of order 2 × 3 with entries -1 or 1 is

Options:

64

6

32

16

Correct Answer:

64

Explanation:

The correct answer is Option (1) → 64

Each entry can be either $-1$ or $1$.

Total entries in a $2\times 3$ matrix = $6$.

Each entry has 2 choices ⇒ total matrices = $2^{6}$.

$2^{6}=64$

The number of such matrices is $64$.