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8.1 Systems of Equations
8.1 Systems of Equations
Definition and examples of methods how to solve systems of equations
Example with:
- Exact answer
- Infinitely many solutions
- No solution
8.2 Solving Systems of Equations w/ Augmented Matrices
8.2 Solving Systems of Equations w/ Augmented Matrices
Matrix definition
Example of coefficient matrix vs augmented matrix
Examples of how to solve using an augmented matrix
Pre-Calc 4:25.pdf8.3 Matrix Arithmetic
8.3 Matrix Arithmetic
Examples of how to:
- Add or subtract matrices
- Multiply matrices
- Scalar
- Multiplying
8.4 and 8.5 Inverse. Cramer’s Rule, and Solving
8.4 and 8.5 Inverse. Cramer’s Rule, and Solving
Notation of inverse
Determinant
Cramer’s Rule definition
8.6 Partial Fraction Decomposition
8.6 Partial Fraction Decomposition
Example of finding PFD
Pre-Calc 4:30.pdf8.6 Partial Fraction Decomposition Continued
8.6 Partial Fraction Decomposition Continued
(Homework review: Identity matrix)
Steps of finding PFD
How to PFD when there’s:
- Factors have exponents
- Irreducible quadratic factors
Pre-Calc 5:2.pdfPage updated
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