Ask your own question, for FREE!
MIT 18.06 Linear Algebra, Spring 2010 19 Online
OpenStudy (anonymous):

Problem 3.1 #24 in the Strang Linear Algebra book, 4ed: "The columns of AB are combinations of the columns of A. This means the column space of AB is contained in (possibly equal to) the column space of A. Give an example where the column spaces of A and AB are not equal." I don't see that the column space of AB is contained in the column space of A. If A= 12 24 and B= 13 32 then AB equals 37 68 Here the col space of AB "has more" than the col space of A; in fact it contains the col space of A. Did the book mean for B to be simply a vector and not a matrix?

OpenStudy (anonymous):

It looks like you've made a calculation error. |dw:1351669669787:dw| And, the column space of AB is the same as that of A, consisting of the line generated by the vector |dw:1351670203221:dw| [Sorry about the lame brackets, I'm just learning about the drawing/equation tools]

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
euphoriiic: I drew more people !! ud83eudd17.
1 hour ago 40 Replies 3 Medals
euphoriiic: I drew markk ud83eudd17.
2 hours ago 34 Replies 2 Medals
LOLIAteYourMom: u2212243 = u22129(10 + x)
5 hours ago 0 Replies 0 Medals
Bubblezz: Art for @jeromeccv
5 hours ago 13 Replies 3 Medals
Bubblezz: Art for @jeromecv
9 hours ago 0 Replies 0 Medals
MakaylaChuck23: no
4 hours ago 9 Replies 0 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!