A matrix has 24 elements, which of the following cannot be the possible order of the matrix Option 1: 6 x 4 Option 2: 12 x 12 Option 3: 8 x 3 Option 4: 1 x 24

Answer: 12 x 12. Solution: Total elements = rows x columns. Possible orders are factor pairs of 24. 6x4 = 24 (valid), 8x3 = 24 (valid), 1x24 = 24 (valid), but 12x12 = 144 ≠ 24. So 12x12 cannot be the order.

Applied Mathematics

Algebra

Easy

A matrix has 24 elements , which of the following cannot be the possible order of the matrix

6 x 4

12 x 12

8 x 3

1 x 24

✅ Correct Option: 2

Total elements = rows $\times$ columns. Possible orders are factor pairs of 24.

6 $\times$ 4 = 24 (valid), 8 $\times$ 3 = 24 (valid), 1 $\times$ 24 = 24 (valid), but 12 $\times$ 12 = 144 $\neq$ 24.

So 12 $\times$ 12 cannot be the order.

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A matrix has 24 elements , which of the following cannot be the possible order of the matrix

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