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I should find the values x for which the matrix is non-singular.

Given matrix is

I already know that the matrix is singular when det(A) is 0. So basically the matrix will be non-singular when the determinant is something else than 0. I know how to find a determinant but I guess this should be solved "other way around"?

It's a homework so hint would be appreciated.

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1 Answer

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Hint: Calculate the determinant of this matrix. You get an expression that depends on $x$. When is this expression zero?

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