Question

How can two matrices be equal?

Answer 1

two matrices are equal if and only if they are of the same order and each corresponding element is equal

Explanation:

examples

`(1) ((1,2),(3,4)) "and "((a,b),(c,d))`

are equal only if

`a=1,b=2,c=3,d=4`

`(2) ((1,2),(3,4)) " and "((a,b),(c,d),(e,f))`

can not equal because they are of different orders

`(3) ((1,2),(3,4)) " and "((6,b),(c,d))`

can not be equal since the first element in the first matrix is 1, and 6 in the second, so one of the corresponding elements are not the same