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  • Provide solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 22

Provide solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 22

Answers (1)

Answer:

 x = 5

Hint:

 A = AT

Given:

 A=\left[\begin{array}{cc} 4 & x+2 \\ 2 x-3 & x+1 \end{array}\right]

Solution:

A = AT

\begin{aligned} &A=\left[\begin{array}{cc} 4 & x+2 \\ 2 x-3 & x+1 \end{array}\right] \\ &A^{T}=\left[\begin{array}{cc} 4 & 2 x-3 \\ x+2 & x+1 \end{array}\right] \\ &\text { So, } \\ &\qquad\left[\begin{array}{cc} 4 & x+2 \\ 2 x-3 & x+1 \end{array}\right]=\left[\begin{array}{cc} 4 & 2 x-3 \\ x+2 & x+1 \end{array}\right] \end{aligned}

By comparing

x + 2 = 2x - 3

By solving, x = 5

Posted by

Gurleen Kaur

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