SEM.3.MAA: SEM.3.MAA

SEM.3.MAA

SEM.3.MAA.1Represent a system of linear equations as a single matrix equation in a vector variableSEM.3.MAA.2Find the inverse of a matrix if it exists and use it to solve systems of linear equations; use technology for matrices of dimension 3 × 3 or greaterSEM.3.MAA.3Use matrices to represent and manipulate data (e.g., to represent payoffs or incidence relationships in a network)SEM.3.MAA.4Multiply matrices by scalars to produce new matrices (e.g., as when all of the payoffs in a game are doubled)SEM.3.MAA.5Add, subtract, and multiply matrices of appropriate dimensionsSEM.3.MAA.6Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation but still satisfies the associative and distributive propertiesSEM.3.MAA.7Understand that the zero and identity matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in the real numbers; the determinant of a square matrix is nonzero if and only if the matrix has a multiplicative inverseSEM.3.MAA.8Work with 2 × 2 matrices as transformations of the plane and interpret the absolute value of the determinant in terms of area
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