prove that (x1,y1), (x2,y2) and (x3,y3) are collinear pts iff determinant : x1 y1 1 x2 y2 1 x3 y3 1 is zero
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Originally Posted by alexandrabel90 prove that (x1,y1), (x2,y2) and (x3,y3) are collinear pts iff determinant : x1 y1 1 x2 y2 1 x3 y3 1 is zero If the det=0, then the matrix is singular. Since the matrix is singular, the column vectors are lin. dep. If a set of vectors are collinear, then the vectors are lin. dep.; hence, the det of the coefficient matrix is 0.
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