Math Celebrity Lesson Plan

Linear Algebra Lesson Plan: (4) lessons

Lesson Name	Lesson Description and Features	Shortcut Commands?	Quiz Generator?	Practice Problems?
Basic m x n Matrix Operations	Given 2 matrices \|A\| and \|B\|, this performs the following basic matrix operations * Matrix Addition \|A\| + \|B\| * Matrix Subtraction \|A\| - \|B\| * Matrix Multiplication \|A\| x \|B\| * Scalar multiplication rA where r is a constant.	N/A	YES	YES
Cross Product A × B	Given two vectors A and B in R³, this calculates the cross product A × B as well as determine if the two vectors are parallel	N/A	YES	N/A
Matrix: Determinant-Inverse-Transpose-Adjoint-Eigen Equation-GaussJordan-Trace	Given a matrix \|A\|, this calculates the following items if they exist: * Determinant = det(A) * Inverse = A^-1 * Transpose = A^T * Adjoint = adj(A) * Eigen equation (characteristic polynomial) = det\|λI - A\| * Trace = tr(A) * Gauss-Jordan Elimination using Row Echelon and Reduced Row Echelon Form * Dimensions of \|A\| m x n	N/A	N/A	YES
Vectors	Given 2 vectors A and B, this calculates: * Length (magnitude) of A = \|\|A\|\| * Length (magnitude) of B = \|\|B\|\| * Sum of A and B = A + B (addition) * Difference of A and B = A - B (subtraction) * Dot Product of vectors A and B = A x B * Distance between A and B = AB * Angle between A and B = θ * Unit Vector U of A. * Determines the relationship between A and B to see if they are orthogonal (perpendicular), same direction, or parallel.	N/A	YES	YES

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