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  • Need Solution for R.D. Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 21 Maths Textbook Solution.

Need Solution for R.D. Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 21 Maths Textbook Solution.

Answers (1)

Answer: The correct option is (C), x = y

Given: A=\left[\begin{array}{ll} 5 & x \\ y & 0 \end{array}\right]

Solution:

Then \mathrm{A}^{\mathrm{T}}=\left[\begin{array}{ll} 5 & y \\ x & 0 \end{array}\right]

So,\mathrm{A}=\mathrm{A}^{\mathrm{T}}

\begin{aligned} &\Rightarrow\left[\begin{array}{ll} 5 & x \\ y & 0 \end{array}\right]=\left[\begin{array}{ll} 5 & y \\ x & 0 \end{array}\right] \\ &\Rightarrow \mathrm{x}=\mathrm{y} \end{aligned}

So, the correct option is (C).

 

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