Table of contents
- 0. Review of Algebra(0)
- 1. Equations & Inequalities(0)
- 2. Graphs of Equations(0)
- 3. Functions(0)
- 4. Polynomial Functions(0)
- 5. Rational Functions(0)
- 6. Exponential & Logarithmic Functions(0)
- 7. Systems of Equations & Matrices(0)
- 8. Conic Sections(0)
- 9. Sequences, Series, & Induction(0)
- 10. Combinatorics & Probability(0)
7. Systems of Equations & Matrices
Introduction to Matrices
7. Systems of Equations & Matrices
Introduction to Matrices: Study with Video Lessons, Practice Problems & Examples
174PRACTICE PROBLEM
Find the complete solution or indicate that there is none for this given system of equations using Gaussian Elimination.
![open curly brackets table row cell w minus 3 x minus 2 y minus 2 z equals negative 1 end cell row cell 3 w plus 2 x minus 6 y plus z equals 1 end cell row cell negative 2 w plus 6 x plus 4 y plus 5 z equals 1 end cell end table close {"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mfenced open=\"{\" close=\"\"><mtable columnalign=\"left\"><mtr><mtd><mi>w</mi><mo>-</mo><mn>3</mn><mi>x</mi><mo>-</mo><mn>2</mn><mi>y</mi><mo>-</mo><mn>2</mn><mi>z</mi><mo>=</mo><mo>-</mo><mn>1</mn></mtd></mtr><mtr><mtd><mn>3</mn><mi>w</mi><mo>+</mo><mn>2</mn><mi>x</mi><mo>-</mo><mn>6</mn><mi>y</mi><mo>+</mo><mi>z</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd><mo>-</mo><mn>2</mn><mi>w</mi><mo>+</mo><mn>6</mn><mi>x</mi><mo>+</mo><mn>4</mn><mi>y</mi><mo>+</mo><mn>5</mn><mi>z</mi><mo>=</mo><mn>1</mn></mtd></mtr></mtable></mfenced></mstyle></math>","truncated":false}](https://lightcat-files.s3.amazonaws.com/problem_images/7d52446f75a35b99-1670873357558.jpg)
Find the complete solution or indicate that there is none for this given system of equations using Gaussian Elimination.