Question

4. A matrix has 8 elements. What are the possible orders it can have?

Answer 1

Concept :- when m is the number of rows , n is the number of columns then,
number of rows × number of columns = number of elements present in matrix.

When a matrix has 8 elements , then the possible orders it can have :
1 × 8 = 8
2 × 4 = 8
4 × 2 = 8
8 × 1 = 8
Hence,there are four possible orders .
e.g., 1 × 8 , 2 × 4 , 4 × 2 and 8 × 1

Answer 2

Solution :

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If a matrix is of order m × n , where ,

m is number of rows , n is number of columns.

So, the number of elements m × n

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Now ,

It is given that ,

the matrix has 8 elements .

All the possible elements of the form ( m , n )

given below ,

( 1 , 8 ) ,( 2 , 4 ) ,

( 8 , 1 ) , ( 4 , 2 ).

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