determine if two matrices are equal 8. Multiply matrices by scalars to produce add and subtract matrices Writing in Math/Discussion Additional Resource(s) new matrices, e.g., as when all of the payoffs compute the product of two matrices What is meant by the order of a matrix? Give in a game are doubled. an example with your explanation. Algebra & Trigonometry (Coburn), 2nd Edition 9. Add, subtract, and multiply matrices of (Exercise Videos, Lecture Videos, appropriate dimensions. Graphing Calculator Videos, Describe how to perform scalar multiplication. 10. Understand that, unlike multiplication of PowerPoint Presentations) Provide an example with your description. numbers, matrix multiplication for square matrices is not a commutative operation, but Task(s) still satisfies the associative and distributive properties. (from 9.1 above) 11. Understand that the zero and identify Central High Booster Club, p.10 matrices play a role in matrix addition and multiplication similar to the role of 0 and 1 in Walk Like a Mathematician, p.25 the real numbers. The determinant of a Candy? What Candy? p.38 square matrix is nonzero if and only if the An Okefenokee Food Web, p.48 matrix has a multiplicative inverse. Culminating Task: Vacationing in Georgia, p.60 9.3 Solving Linear Systems Using Matrix Domain: Solve Equations and Inequalities Objective(s): Vocabulary Equations (Coburn) Cluster: Solve systems of equations and Students will: Multiplicative inverse of a matrix, nonlinear inequalities 9.4 Multiplicative Inverses of Matrices and recognize the identity matrix for Matrix Equations (Blitzer) A-REI multiplication Writing in Math/Discussion 2. Find the inverse of a matrix if it exists and find the inverse of a square matrix If you are given two matrices, A and B, use it to solve systems of linear equations Additional Resource(s) explain how to determine if B is the solve systems using matrix equations (using technology for matrices of dimension multiplicative inverse of A. use determinants to find whether a matrix 3x3 or greater). is invertible Explain why a matrix that does not have the same number of rows and columns cannot have a multiplicative inverse.
8. Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled. 9. Add, subtract, and multiply matrices of appropriate dimensions. 10. Understand that, unlike multiplication of numbers, matrix multiplication for square matrices is not a commutative operation, but still satisfies the associative and distributive properties. 11. Understand that the zero and identify 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. determine if two matrices are equal add and subtract matrices compute the product of two matrices Additional Resource(s) Algebra & Trigonometry (Coburn), 2nd Edition (Exercise Videos, Lecture Videos, Graphing Calculator Videos, PowerPoint Presentations) Task(s) (from 9.1 above) Central High Booster Club, p.10 Walk Like a Mathematician, p.25 Candy? What Candy? p.38 An Okefenokee Food Web, p.48 Culminating Task: Vacationing in Georgia, p.60 Writing in Math/Discussion What is meant by the order of a matrix? Give an example with your explanation. Describe how to perform scalar multiplication. Provide an example with your description. Domain: Solve Equations and Inequalities Cluster: Solve systems of equations and nonlinear inequalities A-REI 2. Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3x3 or greater). Objective(s): Students will: recognize the identity matrix for multiplication find the inverse of a square matrix solve systems using matrix equations use determinants to find whether a matrix is invertible 9.3 Solving Linear Systems Using Matrix Equations (Coburn) 9.4 Multiplicative Inverses of Matrices and Matrix Equations (Blitzer) Additional Resource(s) Vocabulary Multiplicative inverse of a matrix, Writing in Math/Discussion If you are given two matrices, A and B, explain how to determine if B is the multiplicative inverse of A. Explain why a matrix that does not have the same number of rows and columns cannot have a multiplicative inverse.
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