A7 = 7, where 1 1 1 A = 1 - 1 1 and 1 -1 (a) What is the dimension of the column space of A? (b) Find a basis for the column space of A.f (c) Without using Gauss Jordan elimination i.e., without considering the augumented ma- trix and bringing it to echolen form, argue that this system does not have any solution i.e., it is incosistent. (d) Leaving the first and second entry ( component ) in b as it is, how exactly the third entry should be changed to make this system consistent? " (e) Again, without using Gauss Jordan elimination, what exactly will be the solution after the proposed change from last part. , (f) Now we consider the corresponding homogenous system by putting = 0. Again, without using Gauss Jordan, argue that the homegneous system will have non-trivial solutions.
A7 = 7, where 1 1 1 A = 1 - 1 1 and 1 -1 (a) What is the dimension of the column space of A? (b) Find a basis for the column space of A.f (c) Without using Gauss Jordan elimination i.e., without considering the augumented ma- trix and bringing it to echolen form, argue that this system does not have any solution i.e., it is incosistent. (d) Leaving the first and second entry ( component ) in b as it is, how exactly the third entry should be changed to make this system consistent? " (e) Again, without using Gauss Jordan elimination, what exactly will be the solution after the proposed change from last part. , (f) Now we consider the corresponding homogenous system by putting = 0. Again, without using Gauss Jordan, argue that the homegneous system will have non-trivial solutions.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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