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Module Objective: To introduce students to linear equations, determinants, vectors, complex numbers and matrices.
Solving systems of linear equations by Gaussian elimination; determinants via row operations; coordinate geometry in 1,2 and 3 dimensions; position vectors and displacement vectors; vector arithmetic, norm, distance, dot product and angle, orthogonal projection, triangle and Cauchy-Schwartz inequalities, cross product in 3-dimensions; describe lines and planes using linear equations; complex numbers and the plane; matrix algebra; determinants as areas and volumes, determinant of a product; inverses and eigenvalues of 2x2 matrices and linear equations; other topics such as roots of unity, geometric problems, quadratic forms, linear maps via 2x2 matrices.
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