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(Solved): For which values of \\( a, b \\) and \\( c \\) the matrix \\( \\mathbf{A}=\\left[\\begin{array}{ccc ...


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For which values of \\( a, b \\) and \\( c \\) the matrix \\( \\mathbf{A}=\\left[\\begin{array}{ccc}1 & b & -6 \\\\ 1 & c & 3 \\\\ -3 & 6 & a\\end{array}\\right] \\) is invertible.


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Let,   

If  exists then   must be not equal to zero.
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