Solve the following systems of equations: 1. (2 - 2j 4 -2--2;/0) 2j

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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## Solving Systems of Equations

### Task
Solve the following systems of equations:

1. 
   \[
   \begin{pmatrix}
   2 - 2j & -2 & \big| & 0 \\
   4 & -2 - 2j & \big| & 0
   \end{pmatrix}
   \]

2. 
   \[
   \begin{pmatrix}
   7 + 3j & 2 - 1j & \big| & 30 \\
   -2 + 1j & 4 - 4j & \big| & 15
   \end{pmatrix}
   \]

3. 
   \[
   \begin{pmatrix}
   1 + 0j & 0 - 3j & \big| & -10 \\
   0 - 3j & 4 - 6j & \big| & 10
   \end{pmatrix}
   \]

### Explanation

These matrices represent systems of linear equations in complex numbers. Each row corresponds to an equation, with the terms on the left of the vertical bar representing the coefficients for each variable, and the number on the right representing the constant. The goal is to solve for the variables that satisfy all equations in the system.
Transcribed Image Text:## Solving Systems of Equations ### Task Solve the following systems of equations: 1. \[ \begin{pmatrix} 2 - 2j & -2 & \big| & 0 \\ 4 & -2 - 2j & \big| & 0 \end{pmatrix} \] 2. \[ \begin{pmatrix} 7 + 3j & 2 - 1j & \big| & 30 \\ -2 + 1j & 4 - 4j & \big| & 15 \end{pmatrix} \] 3. \[ \begin{pmatrix} 1 + 0j & 0 - 3j & \big| & -10 \\ 0 - 3j & 4 - 6j & \big| & 10 \end{pmatrix} \] ### Explanation These matrices represent systems of linear equations in complex numbers. Each row corresponds to an equation, with the terms on the left of the vertical bar representing the coefficients for each variable, and the number on the right representing the constant. The goal is to solve for the variables that satisfy all equations in the system.
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open parentheses table row cell 2 minus 2 j end cell cell negative 2 end cell cell vertical line 0 end cell row 4 cell negative 2 minus 2 j end cell cell vertical line 0 end cell end table close parentheses

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