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Published byEric Hardy Modified over 6 years ago
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4.4 Objectives Day 1: Find the determinants of 2 2 and 3 3 matrices. Day 2: Use Cramer’s rule to solve systems of linear equations. Vocabulary Determinant: The value of a square matrix. If the matrix is not square, then the determinant is undefined. Coefficient matrix: A matrix whose elements are the coefficients from a system of equations. Cramer’s rule: Used to solve a system of equations.
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Example 1A: Finding the Determinant of a 2 x 2 Matrix
Find the determinant of each matrix.
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Example 1A: Finding the Determinant of a 3 x 3 Matrix
Find the determinant of each matrix.
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Example 1A: Finding the Determinant of a 3 x 3 Matrix
Find the determinant of
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Pg , 14-17
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Example 2: Using Cramer’s Rule for Two Equations
Use Cramer’s rule to solve each system of equations.
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Solve using Cramer’s Rule
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Pg 274 #2-9, 24 Pg 292 #30
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You can use Cramer’s rule to tell whether the system represented by the matrix has one solution, no solution, or infinitely many solutions.
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