4.5 Determinants and Cramer’s Rule. Objectives Evaluate a determinant of a 2 x 2 matrix. Use Cramer’s rule for linear equations.

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Presentation transcript:

4.5 Determinants and Cramer’s Rule

Objectives Evaluate a determinant of a 2 x 2 matrix. Use Cramer’s rule for linear equations.

What does a 2 x2 determinate look like? Matrix A Determinant

The math of a 2 x 2determinant A Determinant

Example 1 (2x2 determinant) A Determinant Answer : -5

Example 2 (2x2 determinant)

Example 2 ANSWER 10

Cramer’s Rule Used to solve linear equations. (x,y) It can get messy. Follow your notes carefully. Practice will make it seem not too bad.

A Look at 2 Linear Equations is Standard Form.

Use Substitution.

After Substitution

Evaluate each determinant D = 22 Dx = 0 Dy = -44

Cramer’s Rule says that……… AND So,…

…..finishing our problem. & D = 22Dx = 0 Dy = -44 (0, -2)