Use row and/or column operations to simplify the determinant of the following matrix A, by reduction to upper triangular form, then evaluate.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]A = \left(\begin{array}{cccc}

2 & 3 & 4 & 5\\

0 & -1 & 2 & 1\\

0 & 0 & 2 & 4\\

0 & 3 & -6 & 0

\end{array}

\right)[/tex]

Is there an simpler way to find the determinant so that I don't have to expand cofactors etc? Because it would be:2|(3x3 matrix)| - 3|(3x3 matrix| + 4|(3x3 matrix)| - 5|(3x3 matrix)|and then I have to find the determinants of each 3x3 matrix...

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# 4x4 matrix determinant

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