Survey

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Transcript

Finite Mathematics and Calculus with Applications (7th Edition) by Lial, Greenwell, and Ritchey Section 2.2- Solution of Linear Systems- Gauss-Jordon Method 3. Write the augmented matrix for the system When we write the augmented matrix, we don't write the x, y, and z and we replace the "equal sign" with a vertical line. The augmented matrix is 7. Write the system of equations associated with the augmented matrix The system of equations is or simply or simply or simply 21. Use the Gauss-Jordon method to solve the system of equations The initial matrix is Divide the 1st row by 2 . Add times the 1st row to the 2nd row. Note the last row represents the equation which is not true for any values of and Therefore, the system has no solution. 33. Solve the system of equations We can solve this equation using a graphing calculator. Key in the matrix forget the vertical line Your calculator can reduce this matrix using the rref( ) function. Note that since the last row is all zeros, one the 3 equations has dropped out and there are an infinite number of solutions. The numbers are accurate to 3 decimal places. Forget the 3rd row and just look at the 1st 2 rows. The 2nd row The 1st row The solution to the system is