Solution Found!
[M] According to Theorem 11, a linearly independent set in
Chapter 4, Problem 33E(choose chapter or problem)
[M] According to Theorem 11, a linearly independent set in can be expanded to a basis for . One way to do this is to create with the columns of the identity matrix; the pivot columns of A form a basis for .a. Use the method described to extend the following vectors to a basis for : b. Explain why the method works in general: Why are the original vectors included in the basis found for Col A? Why is Col A =
Questions & Answers
QUESTION:
[M] According to Theorem 11, a linearly independent set in can be expanded to a basis for . One way to do this is to create with the columns of the identity matrix; the pivot columns of A form a basis for .a. Use the method described to extend the following vectors to a basis for : b. Explain why the method works in general: Why are the original vectors included in the basis found for Col A? Why is Col A =
ANSWER:Solution 33EStep 1 of 4Let the set of vectors is linearly independent in This set can be extended to basis of Create matrix Here are represents columns of identity matrix.Then pivot columns of matrix form a basis of