Practice Questions on Subtraction of Matrices

Q1. Given matrices A = [Tex]\begin{bmatrix} 2 &5 \\ 7 &1 \end{bmatrix}[/Tex] and B = [Tex]\begin{bmatrix} 3 &6 \\ 4 &2 \end{bmatrix}[/Tex], find the matrix C = A – B.

Q2. Given matrices A = [Tex]\begin{bmatrix} -2 &8 \\ 3 &-5 \end{bmatrix}[/Tex] and B = [Tex]\begin{bmatrix} 4 &-7 \\ -1 &6 \end{bmatrix}[/Tex], find the matrix C = A – B.

Q3. Verify the commutative property for matrices A = [Tex]\begin{bmatrix} 2 &3 \\ 4 &5 \end{bmatrix}[/Tex] and B = [Tex]\begin{bmatrix} 5 &4 \\ 3 &2 \end{bmatrix}[/Tex]

Q4. Given Matrices are A = [Tex]\begin{bmatrix} -3 &1 \\ 2 &6 \end{bmatrix}[/Tex] and B = [Tex]\begin{bmatrix} 4 &-2 \\ 5 &3 \end{bmatrix}[/Tex]

Show that A + B ≠ B + A.

Q5. Given Matrices are

A = [Tex]\begin{bmatrix} 1 &-2 \\ 3 &4 \end{bmatrix}[/Tex], B = [Tex]\begin{bmatrix} 2 &3 \\ 4 &5 \end{bmatrix}[/Tex] and C = [Tex]\begin{bmatrix} -1 &0 \\ 2 &3 \end{bmatrix}[/Tex]

verify the associative property (A – B) – C ≠ A – (B – C).

Q6. If A =[Tex]\begin{bmatrix} 0 &1 \\ -1 &2 \end{bmatrix}[/Tex], B =[Tex]\begin{bmatrix} 2 &0 \\ 1 &3 \end{bmatrix}[/Tex] and C =[Tex]\begin{bmatrix} 1 &-1 \\ 3 &4 \end{bmatrix}[/Tex]

Prove that matrix subtraction is associative by calculating both (A – B) – C and A – (B – C).

Q7. Given matrix A =[Tex]\begin{bmatrix} 4 &5 \\ 6 &7 \end{bmatrix}[/Tex] and the zero matrix 0 = [Tex]\begin{bmatrix} 0 &0 \\ 0 &0 \end{bmatrix}[/Tex] , show that A – 0 = A.

Q8. Given matrix A =[Tex]\begin{bmatrix} -1 &3 \\ 2 &4 \end{bmatrix}[/Tex], find the result of A – zero matrix.

Q9. Given matrix A = [Tex]\begin{bmatrix} 1 &-4 \\ 3 &2 \end{bmatrix}[/Tex], find the additive inverse −A and verify that A + (−A) = 0.

Q10. Given matrix A = [Tex]\begin{bmatrix} 2 &-3 \\ -4 &1 \end{bmatrix}[/Tex], find the additive inverse −A and verify that A + (−A) = 0.

Subtraction of Matrices is one of the operations that are performed between two matrices. It is similar to addition of matrices. This article provides practice questions on subtraction of matrices along with solved examples and concepts related to it. This article serves as a one stop solution for practicing problems related to subtraction of matrices to ace the exam.