Quiz 1 in Math 341: Solving Complex Numbers and Linear Systems - Prof. R. Vanderpool, Quizzes of Linear Algebra

A math quiz consisting of three problems. The first problem asks to find the complex numbers a and b that satisfy the equation 3+6i = a+bi. The second problem involves using gauss-jordan elimination to find the general solutions to a linear system. The third problem requires finding the solution set to another system of linear equations using elementary row operations. Students are required to show all their work for full credit.

Typology: Quizzes

Pre 2010

Uploaded on 07/29/2009

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Quiz 1
Math 341
Name:
Show all your work (algebraically or geometrically) for each and simplify. No credit is given
without supporting work.
1. [1] Find a, and bso that 3+6i
2+i=a+bi.
2. [4] The following were the result of applying the Gauss-Jordan elimination to the
augmented matrix of a linear system. Carefully write out the general solutions to each
system below or indicate that it is inconsistent.
1 0 0 0
0 0 1 2
0 0 0 0
1 0 0 1
0 1 0 2
0 0 0 1
1
pf2

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Quiz 1

Math 341

Name:

Show all your work (algebraically or geometrically) for each and simplify. No credit is given without supporting work.

  1. [1] Find a, and b so that 3+6 2+ii = a + bi.
  2. [4] The following were the result of applying the Gauss-Jordan elimination to the augmented matrix of a linear system. Carefully write out the general solutions to each system below or indicate that it is inconsistent.  
  1. [5] Find the solution set to the following system of linear equations by using elementary row operations on the associated augmented matrix. Verify that the solutions you find are actually solutions. x 1 +x 2 = − 2 5 x 1 +2x 2 = 5 x 1 +2x 2 = − 7