The Equality of Matrices

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HomeAlgebraMatrices and DeterminantsElementary Row Operations

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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