LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

EQUAL MATRICES

**Equal
Matrices –**

**Two matrices
A & B are said to be equal, written as A = B, if and only if when –**

**(i) A and B
are of the same order, i.e, they have the same number of rows and the same
number of columns.**

**(ii) Their
corresponding elements are equal.**

**Example.1)**

**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. **

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