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Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 29 Maths Textbook Solution.

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Answer: A^{n} is skew symmetric matrix

Hint: To solve this, we must knew the basic of matrix

Given: A is skew symmetric and is n odd number

Solution:

A^{T}=-A

\left ( A^{n} \right )^{T}=\left ( A^{T} \right )^{n}

\left ( A^{n} \right )^{T}=-A^{n}

\left ( A^{T} \right )^{n}=-A^{n}

So here A^{n} is skew symmetric matrix

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