Equality Of Matrices
Related Pages
Singular Matrix
Inverse Matrix
More Lessons On Matrices
In these lessons, we will learn what equal matrices are.
Two matrices are considered equal if and only if they meet both of the following conditions:
- Same Dimensions (Order): They must have the same number of rows and the same number of columns.
- Corresponding Elements are Equal: Every element in the same position in both matrices must have the same value.
The following diagram shows examples of matrices .
Let’s illustrate with examples:
Two matrices are equal if they have the same dimension or order and the corresponding elements are identical.
Matrices P and Q are equal.
Matrices A and B are not equal because their dimensions or order is different.
We can use the equality of matrices to solve for variables.
Example:
Given that the following matrices are equal, find the values of x, y and z .
Solution:
Equate the corresponding elements and solve for the variables.
x + 3 = 6
x = 3
y = −1
z − 3 = 4
z = 7
Equal Matrices and solving variables
Two matrices are equal if they have the same dimensions and all corresponding elements are equal.
How to solve variables in equal matrices (equivalent matrices)?
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