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]
= [11−10]
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] -[−60−10−10−6−40−8−14]
= [092−10614151613]
Example : If A = [23−512−1] and B = [051−273], 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 = [23−512−1] + [051−273]
= [28−4−192]
and A – B = A + (-B) = [23−512−1] + (-1)[051−273]
= [2−2−63−5−4]