1. Math
  2. Advanced Math
  3. question 6 15 points 1 given k column vectors v...

Question: question 6 15 points 1 given k column vectors v...

Question details

Question 6. (15 points): 1. Given k column vectors v eR3 fori. k as follows: 0 0 2/3 STOR415: Introduction to Optimization - Spring 2019 Students name: Find all the possible groups of 3 vectors such that each group is linearly independent. Is the group vinearly independent? If it is not, please explain. 2. Given a matrix A -1 23 4 A=15 0-1-11. 8-6 -10 -13 (a) Show that the last row of A is a linear combination of the first two rows (i.e., we can write: the last row = αιχ the first row +α-x the second row, for some αι and α2 that are not simultaneously zeros). (b) Let B be a 3 x 3 matrix formed by three columns of A. Is B invertible (i.e. does B-1 exist)? Does your answer depend on which three columns of A are included in B?

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution