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The Equality of Matrices
For two or more matrices to be equal they must have the same order and their corresponding array elements must be equal.
If we have two equal matrices:
Matrix A
2×2 | Column 1 | Column 2 |
Row 1: | a11 | a12 |
Row 2: | a21 | a22 |
Matrix B
2×2 | Column 1 | Column 2 |
Row 1: | 3 | −5 |
Row 2: | 0 | 4 |
Then a11 = 3, a12 = −5, a21 = 0 and
a22 = 4.
If we have two matrices:
Matrix 1
2×3 | Column 1 | Column 2 | Column 3 |
Row 1: | 5 | 7 | 3 |
Row 2: | 9 | 1/5 | 4 |
Matrix 2
2×3 | Column 1 | Column 2 | Column 3 |
Row 1: | +√25 | 7 | 3 |
Row 2: | 9 | 0.2 | 4 |
They are equal.
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