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  • Provide Solution for R.D.Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 18 Maths Textbook Solution.

Provide Solution for R.D.Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 18 Maths Textbook Solution.

Answers (1)

Answer: The correct option is (A).

Given: Matrix = \left[\begin{array}{ccc} 0 & 5 & -7 \\ -5 & 0 & 11 \\ 7 & -11 & 0 \end{array}\right]

Solution:

\text { Let } \mathrm{A}=\left[\begin{array}{ccc} 0 & 5 & -7 \\ -5 & 0 & 11 \\ 7 & -11 & 0 \end{array}\right]

\begin{aligned} &A^{T}=\left[\begin{array}{ccc} 0 & -5 & 7 \\ 5 & 0 & -11 \\ -7 & 11 & 0 \end{array}\right] \\ &-A=\left[\begin{array}{ccc} 0 & -5 & 7 \\ 5 & 0 & -11 \\ -7 & 11 & 0 \end{array}\right] \end{aligned}

\because A^{T}=-A

Therefore, the given matrix is a Skew-Symmetric matrix.

So, the correct option is (A).

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