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  • Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 16 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.2 Question 16 Maths Textbook Solution.

Answers (1)

Answer:x = 2, y = -8
Hint: Add LHS part and then equate with RHS part.

Given: 2\begin{bmatrix} 3 & 4\\ 5 & x \end{bmatrix} + \begin{bmatrix} 1 &y \\ 0 & 1 \end{bmatrix} = \begin{bmatrix} 7 &0 \\ 10& 5 \end{bmatrix}
Here, we have to compute x and y.
Solution:

2\begin{bmatrix} 3 & 4\\ 5 & x \end{bmatrix} + \begin{bmatrix} 1 &y \\ 0 & 1 \end{bmatrix} = \begin{bmatrix} 7 &0 \\ 10& 5 \end{bmatrix}

\begin{bmatrix} 6 & 8\\ 10 &2 x \end{bmatrix} + \begin{bmatrix} 1 &y \\ 0 & 1 \end{bmatrix} = \begin{bmatrix} 7 &0 \\ 10& 5 \end{bmatrix}

\begin{bmatrix} 6+1 & 8+y\\ 10+0 &2 x+1 \end{bmatrix} = \begin{bmatrix} 7 &0 \\ 10& 5 \end{bmatrix}

\begin{bmatrix} 7 & 8+y\\ 10 &2 x+1 \end{bmatrix} = \begin{bmatrix} 7 &0 \\ 10& 5 \end{bmatrix}
Equating this, we get:
8+y = 0   
\Rightarrow y= -8
Also,
2x +1 = 5
2x = 4
\Rightarrow x =2

Posted by

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