Non-Singular Matrix, Determinants

Non-Singular Matrix, Determinants
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I should find the values x for which the matrix is non-singular.

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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David Miller
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David Miller

David Miller brings 15 years of experience in global economics, personal finance strategy, and market dynamics. He specializes in turning complex economic trends into actionable insights for everyday readers.