Subtraction of Matrices with Examples

Here you will learn subtraction of matrices with examples.

Let’s begin –

Subtraction of Matrices

Let two matrices A and B of the same order, the subtraction of matrix B from matrix A is denoted by A – B and is defined as A – B = A + (-B).

Note : If matrices are not of same order then subtraction of matrix is not possible.

Subtraction of matrices of order 2×2

If  A = [2102] and B = [1012], then find A – B.

A – B = A + (-B) = [2102][1012]

 = [1110]

Subtraction of matrices of order 3×3

If  A = [234046589] and B = [305532047], then find 3A – 2B.

We have, 3A – 2B = 3A + (-2)B

3A – 2B = [691201218152427] -[601010640814]

 = [09210614151613]

Example : If  A = [235121] and B = [051273], then find A + B and A – B.

Solution : Clearly A and B both are matrices of the same order 2×3. So, A + B and A – B both are defined.

Now, A + B = [235121] + [051273]

= [284192]

and A – B = A + (-B) = [235121] + (-1)[051273]

= [226354]

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