Use Inverse Matrices to Solve Linear Systems

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Presentation transcript:

Use Inverse Matrices to Solve Linear Systems Unit 5: Matrices Students will perform basic operations with matrices. Find the inverses of two-by-two matrices using pencil and paper, and find inverses of larger matrices using technology. Students will use matrices to formulate and solve problems. Represent a system of linear equations as a matrix equation. Solve matrix equations using inverse matrices. Use Inverse Matrices to Solve Linear Systems

Intro:

Intro:

Vocabulary

To find the inverse of a 2x2:

(Ex 1) Find the inverse:

Checkpoint 1: Find the inverse

(Ex 2) Solve the matrix:

(Ex 3) Solve the matrix:

Checkpoint 2: Solve the matrix

(Ex 4) Solve the linear system:

(Ex 5) Solve the linear system:

Checkpoint 3: Solve the linear system

Assignment WS 1.11 #1-5 (odd), 7, 8, 9-15 (odd), 16