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  • Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 51 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 51 Maths Textbook Solution.

Answers (1)

Answer: x=3\: and\: y=-4

Hint: Here we use basic concept of scalar matrix

Given: x\begin{bmatrix} 2\\3 \end{bmatrix}+y\begin{bmatrix} -1\\1 \end{bmatrix}=\begin{bmatrix} 10\\5 \end{bmatrix}x=? y=?

Solution:

\begin{aligned} &\text { Here, we use scalar matrix }\\ &\left[\begin{array}{c} 2 x \\ 3 x \end{array}\right]+\left[\begin{array}{c} -y \\ y \end{array}\right]=\left[\begin{array}{l} 10 \\ 5 \end{array}\right]\\ &\left[\begin{array}{c} 2 x-y \\ 3 x+y \end{array}\right]=\left[\begin{array}{l} 10 \\ 5 \end{array}\right]\\ &2 x-y=10\\ &\frac{3 x+y=5}{5 x=15} \end{aligned}

\begin{aligned} &5 x=15 \\ &\begin{array}{l} x=3 \\ 2 x-y=10 \\ 2(3)-y=10 \quad \rightarrow[\text { From eqn }(1)] \\ 6-y=10 \\ y=6-10 \\ y=-4 \end{array} \end{aligned}

 

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