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  • Please solve RD Sharma class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 13 maths textbook solution

Please solve RD Sharma class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 13 maths textbook solution

Answers (1)

Answer:

 x = (-1) and y = (-1)

Hint:

 Use the basics of algebra.

Given:

 e\left[\begin{array}{ll} e^{x} & e^{y} \\ e^{y} & e^{x} \end{array}\right]=\left[\begin{array}{ll} 1 & 1 \\ 1 & 1 \end{array}\right]

Solution:

\begin{aligned} &{\left[\begin{array}{cc} e^{x} & e^{y} \\ e^{y} & e^{x} \end{array}\right]=\frac{1}{e}\left[\begin{array}{ll} 1 & 1 \\ 1 & 1 \end{array}\right]} \\ &{\left[\begin{array}{cc} e^{x} & e^{y} \\ e^{y} & e^{x} \end{array}\right]=\left[\begin{array}{cc} \frac{1}{e} & \frac{1}{e} \\ \frac{1}{e} & \frac{1}{e} \end{array}\right]} \end{aligned}

So,

e^{x}=\frac{1}{e} \therefore x=-1 e^{y}=1 \therefore y=-1

Posted by

Gurleen Kaur

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