Arkansas: SEM Math Standards

SEM.3

• SEM.3.MAA.1 Represent a system of linear equations as a single matrix equation in a vector variable
• SEM.3.MAA.2 Find 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 greater
• SEM.3.MAA.3 Use matrices to represent and manipulate data (e.g., to represent payoffs or incidence relationships in a network)
• SEM.3.MAA.4 Multiply matrices by scalars to produce new matrices (e.g., as when all of the payoffs in a game are doubled)
• SEM.3.MAA.5 Add, subtract, and multiply matrices of appropriate dimensions
• SEM.3.MAA.6 Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation but still satisfies the associative and distributive properties
• SEM.3.MAA.7 Understand 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 inverse
• SEM.3.MAA.8 Work with 2 × 2 matrices as transformations of the plane and interpret the absolute value of the determinant in terms of area