CLASS-10
EQUAL MATRICES

Above A and B matrices are equal, because both are of the same order (3 X 3) and their corresponding elements are equal. Hence we can write that A = B

Example.2)   The matrices –

Above two matrices A & B are not equal, because A is a matrix or order (2 X 3) while B is a matrix of order (3 X 2)

Example.3) The matrices –

Above two matrices A & B are not equal, because (1, 1)th element of A ≠ (1, 1)th element of B, (1, 2)th element of A ≠ (1, 2)th elements of B, and (2, 3)th element of A ≠ (2, 3)th element of B, even though both matrices A and B are of the same order (2 X 3).

Hence, we can conclude that the matrices [x   y]   and   [0   -4] are equal if and only if x = 0 and y = - 4.