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Advanced Algebra II Notes 6.4 Solving Systems with Inverse Matrices Solve the system of equations using elimination: 2x + y = 5 5x + 3y = 13 Write the.

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Presentation on theme: "Advanced Algebra II Notes 6.4 Solving Systems with Inverse Matrices Solve the system of equations using elimination: 2x + y = 5 5x + 3y = 13 Write the."— Presentation transcript:

1 Advanced Algebra II Notes 6.4 Solving Systems with Inverse Matrices Solve the system of equations using elimination: 2x + y = 5 5x + 3y = 13 Write the system as the product of a coefficient matrix and a variable matrix equal to a constant matrix.

2 This equation is a matrix form of ax = b What is the multiplicative identity? What is the identity matrix for State the identity matrices for each dimension: 1x12x23x34x4

3 Find the inverse matrix for

4 Solve the given system using an inverse matrix: 2x + 3y = 7 x + 4y = 6

5 On a recent trip to the movies, Duane, Marsha, and Parker each purchased snacks. Duane bought two candy bars, a small drink, and two bags of popcorn for a total of $11.85. Marsha spent $9.00 on a candy bar, two small drinks, and a bag of popcorn. Parker spent $12.35 on two small drinks and three bags of popcorn, but no candy. (poor Parker, no candy). If all the prices included tax, what was the price of each item?

6 Assignment: page 331: 1 - 10


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