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  • Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 2 Subquestion (ii) Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 2 Subquestion (ii) Maths Textbook Solution.

Answers (1)

Answer:   \begin{bmatrix} 9 &-17 \\ -14 &-11 \end{bmatrix}
Hint: Multiply the C matrix with 4. Then, subtract it from B.
Given:
A= \begin{bmatrix} 2 &4 \\ 3 &2 \end{bmatrix} , B= \begin{bmatrix} 1 &3 \\ -2 &5 \end{bmatrix}  and  C= \begin{bmatrix}-2 &5 \\ 3 &4 \end{bmatrix}

Here, we have to computeB - 4C.
Solution:
B-4C=1 \begin{bmatrix} 1 &3 \\ -2 &5 \end{bmatrix}-4 \begin{bmatrix} -2 &5 \\ 3 &4 \end{bmatrix}

                = \begin{bmatrix} 1 &3 \\ -2 &5 \end{bmatrix}-\begin{bmatrix} -8 &20 \\ 12 & 16 \end{bmatrix}

                  = \begin{bmatrix} 1+8 &3-20 \\ -2-12&5-16 \end{bmatrix}

                     = \begin{bmatrix} 9 &-17 \\ -14 &-11 \end{bmatrix}

Note: Here, A is not mandatory.

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