Homework 3 Solution

Substituting this information into equation 2 or 3

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Unformatted text preview: 0x + xy Equation 1 (or Equation 4) implies that x = 3. Substituting this information into Equation 2 or 3 and solving for y produces y = −2. Thus, there is only one solution: (3, −2). 3 −5 1 −4 . 1 −2 2 2. Let A = 2 1 a. [1 point] Use Gauss-Jordan Elimination to find A−1 . 2 2 1 Solution: 3 −5 1 1 −4 0 1 −2 0 0 1 0 2 Thus, 2 1 0 −−−→ 1 −−− 0 1 − 3 2 1 1 −−−− −−−→ 1 0 2 −4 3 0 2 −−→ 1 −− −3 0 1 0 0 −−−− −−−→ 1 0 1 −2 2 0 −1 3 −5 −2 −1 1 −4 = 0 −1 1 −2 −1 −1 − −− − − 0 −1 −2 − − 1 → 1 −2 0 1 0 3−1 0 0 1 1 0 −1 − − − → 1 −−− 2 1 ...
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This note was uploaded on 01/16/2014 for the course MAT 242 taught by Professor Kaliszewski during the Spring '02 term at ASU.

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