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Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 25 Maths Textbook Solution

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Answer: ABA^{T}is symmetric matrix

Hint: Here to solve this we use the basic concept of skew symmetric matrix

Given: Bis symmetric matrix

So, ABA^{T}=?

Solution: Bis symmetric matrix

So, B^{T}=B        ……(i)

\rightarrowLet ABA^{T}and take transpose of it


=ABA^{T}=\left ( ABA^{T} \right )^{T}=AB^{T}A^{T}=ABA^{T}=ABA^{T}

So, ABA^{T}is symmetric matrix

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