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Notes Over 10.5 Using Cramer’s Rule for a 2 x 2 System

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Presentation on theme: "Notes Over 10.5 Using Cramer’s Rule for a 2 x 2 System"— Presentation transcript:

1 Notes Over 10.5 Using Cramer’s Rule for a 2 x 2 System
Use Cramer’s Rule to solve the linear system. Find the determinant of the coefficient Matrix To find your x replace the x ’s in the coefficient Matrix with the constants To find your y replace the y ’s in the coefficient Matrix with the constants

2 Notes Over 10.5 Using Cramer’s Rule for a 3 x 3 System
Use Cramer’s Rule to solve the linear system. Find the determinant of the coefficient Matrix

3 Find the area of the triangle with the given vertices.
Notes Over 10.5 The Area of a Triangle Find the area of the triangle with the given vertices.

4 Determine whether the points lie on the same line.
Notes Over 10.5 Test for Collinear Points Determine whether the points lie on the same line. Non-Collinear

5 Find an equation of the line through the two points.
Notes Over 10.5 Equation of a Line Find an equation of the line through the two points.

6 Notes Over 10.5 Encoding a Message
Use the code in the book and the matrix to encode the message. First, convert the letters to row matrices Then multiply each uncoded row by matrix A

7 Notes Over 10.5 C O O L M A N Decoding a Message
Use the code in the book and the matrix to decode the message. C O O L M A N

8 Notes Over 10.5


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