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
58PRACTICE PROBLEM
What is the augmented matrix for the following system of equations? Also, state the dimension of the matrix. Please note that you don't need to solve it.
![open curly brackets table row cell 5 x plus 2 y plus 4 z minus 7 equals 0 end cell row cell 6 x minus 8 y plus 11 z plus 13 equals 0 end cell row cell 9 x plus 2 y plus 6 z minus 12 equals 0 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><mn>5</mn><mi>x</mi><mo>+</mo><mn>2</mn><mi>y</mi><mo>+</mo><mn>4</mn><mi>z</mi><mo>-</mo><mn>7</mn><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>6</mn><mi>x</mi><mo>-</mo><mn>8</mn><mi>y</mi><mo>+</mo><mn>11</mn><mi>z</mi><mo>+</mo><mn>13</mn><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd><mn>9</mn><mi>x</mi><mo>+</mo><mn>2</mn><mi>y</mi><mo>+</mo><mn>6</mn><mi>z</mi><mo>-</mo><mn>12</mn><mo>=</mo><mn>0</mn></mtd></mtr></mtable></mfenced></mstyle></math>","truncated":false}](https://lightcat-files.s3.amazonaws.com/problem_images/cde247b78f39f9c6-1682505696325.jpg)
What is the augmented matrix for the following system of equations? Also, state the dimension of the matrix. Please note that you don't need to solve it.