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  • Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.1 Question 15 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter Algebra of Matrices Exercise 4.1 Question 15 Maths Textbook Solution.

Answers (1)

Answer: x+y=7  or -3

Given:  Given that

            \begin{bmatrix} 2x+1 &5x \\ 0 &y^{2}+1 \end{bmatrix}= \begin{bmatrix} x+3 &10\\ 0 & 26 \end{bmatrix}

Here we have to calculate the value of x+y

Hint:  Here we will use equality of matrices.

Solution: Here \begin{bmatrix} 2x+1 &5x \\ 0 &y^{2}+1 \end{bmatrix}= \begin{bmatrix} x+3 &10\\ 0 & 26 \end{bmatrix}

The corresponding entries of equal matrices are equal, So

2x+1=x+3\\\Rightarrow 2x-x= 3-1\\\Rightarrow x=2    

 y^{2}+1=26\\\Rightarrow y^{2}=26-1\\\Rightarrow y=\sqrt{25}\\\Rightarrow y=\pm 5

Case 1: If x=2 and y=+5

\Rightarrow x+y=2+5=7

Case 2: If  x=2  and y=-5

\Rightarrow x+y=2+\left ( -5 \right )=-3

Hence x+y=7  or -3

Posted by

infoexpert27

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