MATH 204

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MATH 204: Vectors and Matrices Questions & Answers
  • MATH 204: Vectors and Matrices Questions & Answers

  • Exam (elaborations) • 12 pages • 2020
  • MATH 204: Vectors and Matrices Questions & Answers Problem 1 Using the Gauss-Jordan method (i.e. reduced row echelon form method), find all the solutions of the following system of equations: 2x − 2y 2u 3v = 1 3x − 3y − z 5u 2v = 3 2x − 2y − 2z 6u = −2. Solution 1 Writing the system as an augmented matrix and performing elementary row operations, 2 −2 0 2 3 1  1 −1 0 1 3/2 1/2 3 −3 −1 5 2 3  → 0 0 −1 2 −5/2 ...
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MATH 204 Summary Complete
  • MATH 204 Summary Complete

  • Study guide • 30 pages • 2020
  • MATH 204 Summary Linear equation in the n variables x1, x2, … , xn to be on that can be expressed in the form: a1x1 a2x2 … anxn=b In special case where b = 0, it is called a homogeneous linear equation in the variables x1, x2, … , xn. A finite set of linear equations is called a system of linear equations or a linear system. The variables are called unknowns. A solution of a linear system in n unknowns can be written as (s1, s2, … , sn) which is called an ordered n-tuple. If n = 2,...
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