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lecture_14_slides
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| lecture_14_slides [2017/03/08 17:20] – [Example: using EROs to find the determinant] rupert | lecture_14_slides [2017/03/09 10:45] (current) – [Corollary: the determinant of an upper triangular matrix] rupert | ||
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| If $A$ is an upper triangular matrix or a diagonal matrix, then the determinant of $A$ is the product of its diagonal entries: \[\det(A)=a_{11}a_{22}\dots a_{nn}.\] | If $A$ is an upper triangular matrix or a diagonal matrix, then the determinant of $A$ is the product of its diagonal entries: \[\det(A)=a_{11}a_{22}\dots a_{nn}.\] | ||
| - | * Every upper triangular | + | * Every diagonal |
| * So it suffices just to prove it for upper triangular matrices. | * So it suffices just to prove it for upper triangular matrices. | ||
lecture_14_slides.1488993606.txt.gz · Last modified: by rupert