Find the non-zero positive value of x which satisfies the equation
\(\begin{bmatrix} x & 1 & 0 \\ 1 & x & 1 \\ 0 & 1 & x \end{bmatrix}\) = 0
\(\begin{bmatrix} x & 1 & 0 \\ 1 & x & 1 \\ 0 & 1 & x \end{bmatrix}\) = 0
To find the value of x, we will have to calculate for the determined of the given matrix and equate it to 0
x[x\(^2\) - 1] - 1[x - 0] + 0[0 - 1] = 0
x\(^3\) - x] - x + 0 = 0
x\(^3\) - x - x = 0
x\(^3\) - 2x = 0
x\(^3\) = 2x
x\(^2\) = 2
take the square root of both sides
x = \(\sqrt{2}\)
There is an explanation video available below.
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