Q. 495.0( 2 Votes )

If a matrix has 5

Answer :

We are given that,

A matrix has 5 elements.


We need to find all the possible orders.


We know that if there is a matrix A, of order m × n.


Then, there are mn elements.


Or,


If a matrix has mn elements, then


The order of the matrix = m × n or n × m


For example,


If a matrix is of order 1 × 2, then


There are 2 elements in the matrix.



Or,


If a matrix is of order 2 × 1, then


There are 2 elements in the matrix.



Similarly,


If a matrix has 5 elements, then


The order of this matrix are 1 × 5 or 5 × 1.


Thus, possible orders of a matrix having 5 elements are 1 × 5 and 5 × 1.


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