The value of x, so that is

Engineering

Mathematics

Multiplication of Matrices

Symmetric and Skew Symmetric Matrices

Question

The value of x, so that $⌈ 1 x 1 ⌉ [\begin{array}{ccc} 1 & 3 & 2 \\ 0 & 5 & 1 \\ 0 & 3 & 2 \end{array}] [\begin{array}{c} 1 \\ 1 \\ x \end{array}] = 0$ is

$\frac{- 7 \pm \sqrt{35}}{2}$

$\frac{- 9 \pm \sqrt{53}}{2}$

± 2

$\frac{- 7}{10}$

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Consider,

[\begin{array}{ccc} 1 & x & 1 \end{array}] [\begin{array}{ccc} 1 & 3 & 2 \\ 0 & 5 & 1 \\ 0 & 3 & 2 \end{array}] = 1 [\begin{array}{ccc} 1 & 3 + 5 x + 3 & 5 \end{array}]

[\begin{array}{ccc} 1 & 6 + 5 x & 5 \end{array}] [\begin{array}{c} 1 \\ 1 \\ x \end{array}] = 7 + 10 x

By given, we have

7 + 10x = 0

\Rightarrow x = - \frac{7}{10}

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