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Brain Buster Solve for w, x, and y Multiply.

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Presentation on theme: "Brain Buster Solve for w, x, and y Multiply."— Presentation transcript:

1 Brain Buster Solve for w, x, and y Multiply

2 More Multiplying Practice

3

4 What are the properties
Today's Question: What are the properties of matrix operations?

5 Determinants Determinant: ad-cb

6 Determinant of a 3 x 3

7 Determinant of a 3 x 3

8 Area of a Triangle The area of a triangle with vertices is given by:

9 Area of a Triangle a. Given a triangle with vertices (-1, 0), (1, 3), and (5, 0), find the area using the determinant formula. Verify that area you found is correct using geometric formulas.

10 Area of a Triangle b. Suppose you are finding the area of a triangle with vertices (-1, -1), (4, 7), and (9, -6). You find the area of the triangle to be and your partner works the same problem and gets After checking both solutions, you each have done your work correctly. How can you explain this discrepancy?

11 Area of a Triangle c. Suppose another triangle with vertices (1, 1), (4, 2), and (7, 3) gives an area of 0. What do you know about the triangle and the points?

12 Area of a Triangle A gardener is trying to find a triangular area behind his house that encloses 1750 square feet. He has placed the first two fence posts at (0, 50) and at (40, 0). The final fence post is on the property line at y = Find the point where the gardener can place the final fence post.

13 Properties of Real Numbers

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15 Inverse Matrices To Find an inverse:
Ask when an inverse isn’t possible

16 Inverse Matrices Ask when an inverse isn’t possible

17 Find the Inverse Using Calculator

18 Practice::


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