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Video demonstrating that the area of a parallelogram created by graphing the column vectors of a 2x2 matrix is the equivalent to the absolute value of the determinant of the matrix. Pythagorean theorem, in conjunction with calculating a projection and dot products, is used to determine the height of the parallelogram. Dot products are used to calculate the area. [21:37]
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area of parallelogram created by column vectors, determinant of a 2 x 2 matrix, ccss.math, hsn-vm.c.12, khan academy, khan academy math, khan academy: linear algebra: determinant and area of a parallelogram, khan academy: linear algebra: determinant and area of a parallelogram hsn-vm.c.12, oh.math.hsn.vm.12, dot product
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Common Core
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