Problem statement: Find the determinant of the following matrix by row reduction to echelon form.(adsbygoogle = window.adsbygoogle || []).push({});

|1 3 3 -4 |

|0 1 2 -5 |

|2 5 4 -3 |

|-3 -7 -5 2 |

I reduced this matrix to

|1 3 3 -4 |

|0 1 2 -5 |

|0 -1 -2 5 |

|0 2 4 -10 |

If I reduce this further, the entries in row 3 and 4 become 0. Is this still considered triangular form, and therefore the determinant will be 0?

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# Determinant of a matrix using reduced echelon form

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