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Matrices

Question

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If the matrix $A = [\begin{matrix} 0 & a & - 3 \\ 2 & 0 & - 1 \\ b & 1 & 0 \end{matrix}]$ is skew symmertic, find the values of 'a' and 'b'.

Solution

Given, A is skew-symmetric,

∴ $(A^{T} = - A) [\begin{matrix} 0 & 2 & b \\ a & 0 & 1 \\ - 3 & - 1 & 0 \end{matrix}] [\begin{matrix} 0 & - a & 3 \\ - 2 & 0 & 1 \\ - b & - 1 & 0 \end{matrix}] Hence, a_{12} = - a_{21} \Rightarrow a = - 2 and a_{31} = - a_{13} \Rightarrow b = 3$

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Matrices

If the matrix $A = [\begin{matrix} 0 & a & - 3 \\ 2 & 0 & - 1 \\ b & 1 & 0 \end{matrix}]$ is skew symmertic, find the values of 'a' and 'b'.

Some More Questions From Matrices Chapter

If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

If a matrix A has 12 elements, what arc the possible orders it can have 7 What if it has 7 elements ?

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For Daily Free Study Material Join wiredfaculty

Matrices

If the matrix A = 0a-320-1b10 is skew symmertic, find the values of 'a' and 'b'.

Some More Questions From Matrices Chapter

If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

If a matrix A has 12 elements, what arc the possible orders it can have 7 What if it has 7 elements ?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

If the matrix $A = [\begin{matrix} 0 & a & - 3 \\ 2 & 0 & - 1 \\ b & 1 & 0 \end{matrix}]$ is skew symmertic, find the values of 'a' and 'b'.