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...
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.
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?