Question

if the matrix [ 0 6-5x ] is symmetric, find the value of x.
x^2 x+3

Answer 1

Answer on Question #80316 – Math – Linear Algebra

Question

if the matrix $[0\ 6\ -5x]$ is symmetric, find the value of $x$.

$x^2 x + 3$

Solution

If the matrix $\begin{pmatrix} 0 & 6 & 5x \\ x^2 & x & 3 \end{pmatrix}$ is symmetric, then $6 - 5x = x^2 \Leftrightarrow x^2 + 5x - 6 = 0 \Leftrightarrow x = 1$ or $x = -6$.

Answer: $x = 1$ or $x = -6$.

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