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  • Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 32 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 32 Maths Textbook Solution.

Answers (1)

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

Hint: We can use the basic union concept of matrices.

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

Solution:

2\begin{bmatrix} 1 & 3\\ 0& x \end{bmatrix}+\begin{bmatrix} y &0 \\ 1 &2 \end{bmatrix}= \begin{bmatrix} 5 &6 \\ 1 & 8 \end{bmatrix}

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

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

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

Here, 2+y=5 and 2x+2=8

         y=3                 2x=6

                                      x=3

Here we find y=3 and x=3

Note: We must use the union algebra concept of matrix.

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