- #1
ultima9999
- 43
- 0
Use row and/or column operations to simplify the determinant of the following matrix A, by reduction to upper triangular form, then evaluate.
[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...
[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...