0 0 0 0 2 0 1 0 2 3 0 0 0 3 4 1 2 3 4 5 0 0 1 2 3 (A) –6 (B) –3 (C) 6 (D) 0
question?
actually i dont knw its frm which topic :(
matrices?
its written in that way as i copy
i think so !
how can u plss guide me on this ?
If a determinant:\[\text{Det}\left[\left( \begin{array}{ccccc} 0 & 0 & 0 & 0 & 2 \\ 0 & 1 & 0 & 2 & 3 \\ 0 & 0 & 0 & 3 & 4 \\ 1 & 2 & 3 & 4 & 5 \\ 0 & 0 & 1 & 2 & 3 \\ \end{array} \right)\right]=-6 \]
can u tell me how ?
http://www.analyzemath.com/Tutorial-System-Equations/determinants.html Your expression was calculated using the Mathematica computer program. This is what computers are for.
you can swap rows; but each time you do, you need to alternate the sign of the resulting det
0 0 0 0 2 < 0 1 0 2 3 0 0 0 3 4 1 2 3 4 5 < 0 0 1 2 3 1 2 3 4 5 0 1 0 2 3 0 0 0 3 4 < 0 0 0 0 2 0 0 1 2 3 < 1 2 3 4 5 0 1 0 2 3 0 0 1 2 3 0 0 0 0 2 < 0 0 0 3 4 < 1 2 3 4 5 0 1 0 2 3 0 0 1 2 3 0 0 0 3 4 0 0 0 0 2 that was 3 swaps; -+-, the determinant of this will be the negative of the original
since we have zeros all under the diagonal; the det is just the product of the diag 1.1.1.3.2 = 6 we want the opposite of 6: -6
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