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Area of parallelogram (matrix) 
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#1
Sep2605, 12:49 PM

P: 20

How co you claculate the are a pallelogram determined by points (2, 2), (0, 3), (4, 1) and (6, 4)...I've seen an example wher a 2x2 determinant matrix was used, but I don't remember how to do it...



#2
Sep2605, 12:54 PM

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P: 2,002

The absolute value of the determinant of a 2x2 matrix is the area of the parallelogram determined by the column (or row) vectors of the matrix.



#3
Sep2605, 02:19 PM

P: 20

I was explained that I should take the opposite points, in a form of
x1 x2 y1 y2 and if the parallelogram is above the x axis, then the area is positive else its negative...so the determinants I have tried, 2 6 2 4 and det = 4 but if I use the other two points I get a different answer 0 4 3 1 and det = 12 but once I draw the parallelogram I found the area to be 6x5=30...what am I doing wrong? 


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