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Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 54 Maths Textbook Solution.

Answers (1)

Answer: x=2

Hint: Here we use basic concept of skew symmetric matrix

Given: A\left[ 0\: 1 -2-1\: 0-3\: x-3\: 0 \right] \\  is skew symmetric matrix. Find x

Solution:

Here A=-A^{T}\left[ 0\: 1 -2-1\: 0-3\: x-3\: 0 \right] \\

            =-1[0\: -1 \times 10\: -3-2-3\: 0][0\: 1-2-1\: 0-3 x-3\: 0] \\ =[0\: 1-x-1-x\: 3\: 2\: 3\: 0]-2=-x x=2 \: x=2

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