# Math 1300 Assignment 3 Fall 2015 (1) - MATH 1300 ASSIGNMENT...

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MATH 1300 ASSIGNMENT PROBLEMS (UNIT 3) 1. (a) There are 4 possible row-reduced echelon forms of a 2x2 matrix. What are they?  (b) Give an example of two distinct 2x2 nonzero matrices A and B such that AB = 0  2. Use Gaussian elimination procedure: back substitution to solve the following systems of equations. a) 0263211xyzxyzxyzb) 202334576xyzxyzxyz 3. Use Gauss Jordan elimination procedure to solve the following systems. You must reduce the matrix to its reduced row-echelon form and then write the complete solution to the system. a) 23283231xyzxyzxyz b) 2622343152328wxyzwxyzwxzwxyz 4. The augmented matrix from a system of linear equations has the following reduced row-echelon form. 12010301001405000000110200000013(a) How many equations are there in the system? (b) How many variables are there in the system? (c) How many parameters are there in the solution set? (d)
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