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Explain solution RD Sharma class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 28 maths

Answers (1)

Answer:

 A2 is a symmetrical matrix.

Hint:

 Use the basics of skew- symmetrical matrix

Given:

 A is a skew symmetrical matrix.

Solution:

given

-A = AT

So,

\begin{aligned} &A^{2}=\left(-A^{T}\right)^{2} \\ &A^{2}=\left(A^{T}\right)^{2} \\ &A^{2}=\left(A^{2}\right)^{T} \end{aligned}

So, A2 is a symmetrical matrix.

Posted by

Gurleen Kaur

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