Unit 5:
Investigating Linear Algebra and Matrices
AA.PAR.6: Represent data with matrices, perform mathematical operations, and solve systems of linear equations leading to real-world linear programming applications.
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Learning Goal:
- I can use a matrix to represent data sets in rows and columns.
- I can read and analyze the elements in a matrix in context.
- I can add, subtract, and scale data sets within a matrix.
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Learning Goal:
- I can multiply two data sets with a matrix.
- I can read and analyze the elements in a matrix in context.
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Learning Goal:
- I can perform multi-step operations with data sets within a matrix.
- I can use determinants to find areas involving problems modeling a triangle.
- I can represent a system of linear equations as a matrix equation.
- I can find the determinant to determine if a matrix is invertible or if a system of equations has a unique solution.
- I can use inverse matrices to find unknown quantities involving situations that model a system of equations.
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Learning Goal:
- I can find an objective function's minimum or maximum values given a feasible region with constraints.
- I can use linear programming to find the optimum resource to model a linear function with multiple constraints.
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