A Precalculus Outline
Chapter 8: Systems of Equations and Matrices |
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Section 8.1: Systems of Linear Equations: Gaussian Elimination |
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Objective: Systems of Equations and Matrices |
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Objective: Understanding what it means for a point to be a solution to a system of linear equations |
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Objective: Classifying a system of linear equations as consistent or inconsistent |
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Objective: Classifying a system of linear equations is dependent or independent |
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Objective: Solving a system of linear equations by graphing |
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Objective: Solving a system of linear equations using substitution |
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Objective: Solving a consistent independent system of linear equations by elimination |
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Objective: Solving a consistent dependent system of linear equations by elimination |
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Objective: Solving a system of linear equation by elimination and an application |
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Objective: Solving "mixture" problems |
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Objective: Graphing lines |
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Objective: Plotting points in the plane |
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Objective: X-intercepts |
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Objective: Y-intercepts |
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Objective: Solving linear equations |
Section 8.2: Systems of Linear Equations: Augmented Matrices |
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Objective: Solving a system of linear equations using an augmented matrix |
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Objective: Systems of Linear Equations: Gaussian Elimination |
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Objective: How to add, subtract, and multiply a matrix by a real number |
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Objective: How to multiply two matrices together |
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Objective: Properties of real number arithmetic |
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Objective: Finding the inverse of a matrix using Gauss-Jordan Elimination |
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Objective: Solving a system of linear equations using a matrix inverse |
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Objective: Systems of Linear Equations: Gaussian Elimination |
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Objective: Systems of Linear Equations: Augmented Matrices |
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Objective: Matrix Arithmetic |
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Objective: Determinants and Cramer's Rule |
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Objective: Finding the determinant of a 2 x 2 matrix |
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Objective: Finding the determinant of a 3 x 3 matrix |
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Objective: Finding the determinant of a 4 x 4 matrix |
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Objective: Solving a system of linear equations using Cramer's Rule |
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Objective: Finding the inverse of a matrix using determinants (co-factors) |
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Objective: Systems of Linear Equations: Gaussian Elimination |
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Objective: Systems of Linear Equations: Matrix Inverses |
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Objective: Finding a partial fraction decomposition of a rational expression with distinct linear factors |
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Objective: Finding a partial fraction decomposition of a rational expression with repeated linear factors |
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Objective: Finding a partial fraction decomposition of a rational expression with an irreducible quadratic factor |
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Objective: Finding a partial fraction decomposition of a rational expression where long division is required first |
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Objective: Overview of factoring polynomials |
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Objective: Factoring out greatest common factor part 1 |
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Objective: Factoring out greatest common factor part 2 |
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Objective: Factoring out greatest common factor part 3 |
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Objective: Factoring out greatest common factor part 4 |
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Objective: Difference of squares part 1 |
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Objective: Difference of squares part 2 |
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Objective: Difference of squares part 3 |
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Objective: Factoring trinomials part 1 |
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Objective: Factoring trinomials part 2 |
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Objective: Factoring trinomials part 3 |
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Objective: Factoring trinomials part 4 |
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Objective: Factoring trinomials part 5 |
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Objective: Factoring trinomials |
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Objective: How to perform polynomial long division |
Section 8.7: Systems of Non-Liner Equations and Inequalities |
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Objective: Solving a system of non-linear equations graphically |
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Objective: Solving a system of non-linear equations using substitution |
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Objective: Systems of Linear Equations: Gaussian Elimination |
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Objective: Linear Functions |
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Objective: Quadratic Functions |
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Objective: Circles |
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Objective: Parabolas |
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Objective: Ellipses |
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Objective: Hyperbolas |