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Matrix Addition and Subtraction Operations

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Matrix Addition

The rules for matrix addition are very simple:

Add two or more matrices of the same order by summing their corresponding array elements.

Matrix A

2×2

Column 1

Column 2

Row 1:

4

+√9

Row 2:

−3

5

Address Elements 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:

2

1

Row 2:

3

2

Address Elements Matrix B

2×2

Column 1

Column 2

Row 1:

b11

b12

Row 2:

b21

b22

a11 + b11 = 4 + 2 = 6

a12 + b12 = 3 + 1 = 4

a21 + b21 = −3 + 3 = 0

a22 + b22 = 5 + 2 = 7

Result Matrix A + B

2×2

Column 1

Column 2

Row 1:

6

4

Row 2:

0

7

Matrix Subtraction

The rules for matrix subtraction are very simple:

Subtract the corresponding array elements of two or more matrices of the same order.

Matrix A

2×2

Column 1

Column 2

Row 1:

4

+√9

Row 2:

−3

5

Address Elements 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:

2

1

Row 2:

3

2

Address Elements Matrix B

2×2

Column 1

Column 2

Row 1:

b11

b12

Row 2:

b21

b22

a11 − b11 = 4 − 2 = 2

a12 − b12 = 3 − 1 = 2

a21 − b21 = −3 − 3 = −6

a22 − b22 = 5 − 2 = 3

Result Matrix A − B

2×2

Column 1

Column 2

Row 1:

2

2

Row 2:

−6

3

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