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  • Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 3 Subquestion (i) Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 3 Subquestion (i) Maths Textbook Solution.

Answers (1)

Answer:  \begin{bmatrix} -2 &2 &5 \\ 5& 5 & 1 \end{bmatrix}
Hint: A + B doesn’t exist because the number of elements in A are not equal to the number of elements in B or we can say, the order of matrices is not equal.

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 A + B and B + C.
Solution:
A+B doesn’t exist because the no. of rows and columns of both the matrices are not same.
B + C= \begin{bmatrix} -1 & 0 & 2\\ 3& 4& 1 \end{bmatrix}+\begin{bmatrix} -1 &2 &3 \\ 2 & 1 &0 \end{bmatrix}

             = \begin{bmatrix} -1-1 & 0+2 & 2+3\\ 3+2 & 4+1 & 1+0 \end{bmatrix}

             = \begin{bmatrix} -2 & 2 & 5\\ 5 &5 & 1 \end{bmatrix}

 

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