This post categorized under Vector and posted on November 27th, 2018.

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Since the shears do not change area and we know the area of the rectangle formed by (a0) and (0d) the area of two arbitrary vectors may be expressed by its determinant which we have shown to be identical to the determinant of rectangular matrix (a00d). QED.One definition of the area of a parallelogram is the determinant of the matrix with its edge vectors as its columns. If you havent been givenshown this then you may need to prove it. If you havent been givenshown this then you may need to prove it.

A series of linear algebra lectures given in graphic 4x4 determinant Determinant and area of a parallelogram Determinant as Scaling Factor and Transpose of a Matrix.Related Topics More Lessons for Grade 9 Math Worksheets Examples solutions graphic worksheets solutions and activities to help Algebra students learn how to use the determinant to find the area of a