Homework SourseGive the number of linearly independent columns of 120 1 113
Give the number of linearly independent columns of [-120 -1 1134 1112 1356].
Solution
MATRIX:
Eliminate elements in the 1st column under the 1st element
Eliminate elements in the 2nd column under the 2nd element
Calculate the number of linearly independent rows
Result:
Matrix rank is 3
| A1 | A2 | A3 | A4 | |
|---|---|---|---|---|
| 1 | -1 | 2 | 0 | -1 |
| 2 | 1 | 1 | 3 | 4 |
| 3 | 1 | 1 | 1 | 2 |
| 4 | 1 | 3 | 5 | 6 |
![Give the number of linearly independent columns of [-120 -1 1134 1112 1356].SolutionMATRIX: Eliminate elements in the 1st column under the 1st element Eliminate](/WebImages/45/give-the-number-of-linearly-independent-columns-of-120-1-113-1140096-1761611267-0.webp "Give the number of linearly independent columns of [-120 -1 1134 1112 1356].SolutionMATRIX: Eliminate elements in the 1st column under the 1st element Eliminate")
