If a matrix has 8 elements, then which of the following will not be a possible order of the matrix?

Question

Smart Achievers · Accepted Answer

(4)

Ans. 4 × 4

Explanation:

We know that if a matrix is of order $m \times n$ , then it has $m n$ elements. Thus, to find all possible orders of a matrix with 8 elements, we will find all ordered pairs of natural numbers whose product is 8. Thus, all possible ordered pairs are (1, 8), (2, 4), (4, 2).

Solution

Q.
If a matrix has 8 elements, then which of the following will not be a possible order of the matrix

1 1 × 8

2 2 × 4

3 4 × 2

4 4 × 4

Want Us to Email you About Special Offers & Updates?