applications of matrices and determinants

slide 1 topic applications of matrices and determinants what you should learn use determinants to find areas of triangles. use determinants to decide whether points are collinear. use cramer’s rule to solve systems of linear equations. use matrices to encode and decode messages. area of a triangle area of a triangle in this section, you will study some additional applications of matrices and determinants. the first involves a formula for finding the area of a triangle whose vertices are given by three points on a rectangular coordinate system. example 1 – finding the area of a triangle find the area of the triangle whose vertices are (1, 0), (2, 2), and (4, 3) as shown in figure 7.28. figure 7.28 …

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