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Matrix Addition and Subtraction Operations

The rules for matrix addition are very simple:

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

 2×2 Column 1 Column 2 Row 1: 4 +√9 Row 2: -3 5

Matrix A

 2×2 Column 1 Column 2 Row 1: a11 a12 Row 2: a21 a22

Address Elements Matrix A

 2×2 Column 1 Column 2 Row 1: 2 1 Row 2: 3 2

Matrix B

 2×2 Column 1 Column 2 Row 1: b11 b12 Row 2: b21 b22

Address Elements Matrix B

a11 + b11 = 4 + 2 = 6

a12 + b12 = 3 + 1 = 4

a21 + b21 = -3 + 3 = 0

a22 + b22 = 5 + 2 = 7

 2×2 Column 1 Column 2 Row 1: 6 4 Row 2: 0 7

Result Matrix A + B

Matrix Subtraction:

The rules for matrix subtraction are very simple:

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

 2×2 Column 1 Column 2 Row 1: 4 +√9 Row 2: -3 5

Matrix A

 2×2 Column 1 Column 2 Row 1: a11 a12 Row 2: a21 a22

Address Elements Matrix A

 2×2 Column 1 Column 2 Row 1: 2 1 Row 2: 3 2

Matrix B

 2×2 Column 1 Column 2 Row 1: b11 b12 Row 2: b21 b22

Address Elements Matrix B

a11 – b11 = 4 – 2 = 2

a12 – b12 = 3 – 1 = 2

a21 – b21 = -3 – 3 = -6

a22 – b22 = 5 – 2 = 3

 2×2 Column 1 Column 2 Row 1: 2 2 Row 2: -6 3

Result Matrix A − B