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Tammy Todd

Answered question

2021-10-20

If told that matrix A is a singular Matrix find the possible value(s) for x

A = [\begin{matrix} 16 & 4 x \\ x & 9 \end{matrix}]

Answer & Explanation

Clelioo

Skilled2021-10-21Added 88 answers

Step 1
If A is a singular matrix, then $det (A) = 0$
$\Rightarrow [\begin{matrix} 16 & 4 x \\ x & 9 \end{matrix}] = 0$
$\Rightarrow 16 (9) - 4 x^{2} = 0$
$\Rightarrow - 4 (x^{2} - 36) = 0$
$\Rightarrow x^{2} - 36$
$∴ x = \pm 6$
Therefore for $x = - 6, 6$ the matrix A is singular.

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