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

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

Answers (1)

Answer:  \begin{bmatrix} 1 &-1 \\ 12 &-11 \end{bmatrix}

Hint: Multiply the A matrix with 2, then multiply B matrix with 3. Then, subtract it from A.

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 compute 2A-3B
Solution:
  2A-3B=2 \begin{bmatrix} 2 &4 \\ 3 &2 \end{bmatrix}  -3 \begin{bmatrix} 1 &3 \\ -2 &5 \end{bmatrix}

                    = \begin{bmatrix} 4 &8 \\ 6 &4 \end{bmatrix}-\begin{bmatrix} 3 &9 \\ -6 & 15 \end{bmatrix}

                    = \begin{bmatrix} 4-3 &8-9 \\ 6 +6&4-15 \end{bmatrix}

                    = \begin{bmatrix} 1 &-1 \\ 12&-11 \end{bmatrix}

Note: Here, C is not mandatory.

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