Solved by verified expert:its about Linear Algebra assignment please see the file that I attached to see the questions thanks.
linear_algebra_recap_assignment_.pdf
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January 30, 2018
Name:__________________
MATH 225: Linear Algebra
Assignment in lieu of class lecture on 1/30/18
______________________________________________________________________________
______________________________________________________________________________
Instructions: Please complete the following exercises and be prepared to discuss in class on
February 1, 2018. You may work in groups and refer to your textbook. Show your work for full
credit.
This assignment covers the following Measurable Student Objectives
The student will:
1. From a list of equations, identify those that are linear.
2. Solve a system of linear equations by Gauss-Jordan Elimination.
3. Solve a system of linear equations by Gaussian Elimination.
Exercises:
1) In each equation below, circle the ones that are linear. For those that are not linear, use
the space to state why the equation is not linear.
a. x1 + 5×2 – (√2)x3 = 1
d. x1 + 3×2 + x1x3 = 2
b. x1 = -7×2 + 3×3
e. x1-2 + x2 + 8×3 = 5
c. πx1 – (√2)x2 = 72
(see next page)
2) Solve the linear system by Gauss-Jordan elimination. Write the final answer as a set of
parametric equations using arbitrary values s and t. Show that s = 1 and t = 1 is one of the
infinitely many solutions to the linear system of equations.
x – y + 2z – w = –1
2x + y – 2z – w = –2
–x + 2y – 4z + w = 1
3x
– 3w = –3
3) The given matrix represents an augmented matrix for a linear system. Write the
corresponding set of linear equations for the system using variables, x, y and z.
Use Gaussian elimination to solve the linear system.
2
–4
0
–4
0
1
1
3
–1
6
–1
3
…
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