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  • Provide Solution For R. D. Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 17 Maths Textbook Solution.

Provide Solution For  R. D. Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 17 Maths Textbook Solution.

Answers (1)

Answer: The correct option is (B).

Given: A is both Symmetric and Skew-Symmetric.

Solution:

If a matrix A is both Symmetric and Skew-Symmetric,

A=A and A=-A

Comparing both the equations,

\begin{aligned} &A=-A \\ &A+A=0 \\ &2 A=0 \\ &A=0 \end{aligned}

Then A is a Zero Matrix.

So, the correct option is (B).

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