#Determiant or a 96x96 matrix

11 messages · Page 1 of 1 (latest)

tranquil egret
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I have no clue how to solve this but I do understand generally how to find the determinant of any nxn matrix.

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karmic gardenBOT
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ashen bane
wintry briar
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I have a way solve this fairly easily if you know about eigenvalues and eigenspaces but other than that you can use pivot operations Im sure

tranquil egret
ebon hawk
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subtract row (i-1) from row i starting at i=96 and decrementing towards i=2. then make the matrix lower triangular (by operating on the top row)

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this is assuming you're allowed to use the fact that a diagonal matrix's determinant is the product of its diagoal entries

low meteor
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getting it in RREF shouldn't be very difficult

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try it on matrices of smaller sizes first

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do it for e.g. 2-by-2, 3-by-3, and 4-by-4 matrices with -6's on the diagonal and -5's everywhere else