The an initial question "The vector b is in the kernel that T" I obtained as false since I go A*b and got (-7, 24, -25) i beg your pardon is no a 0 vector for this reason I placed it as false.

You are watching: Determine if the given vector is in the range of t(x) = ax, where

The 2nd question "The vector c is in the variety of T" I placed as false due to the fact that I was unable to execute an augmented procession of Ax = c because the dimensions room not the same.

I obtained the concern right due to the fact that they both turned out to it is in false however I am not certain if my thinking are correct. Deserve to somebody verify if i am interpreting this trouble correctly? thank you

5 comments
share
save
hide
report
100% Upvoted
Log in or sign up to leave a comment
Log InSign Up
Sort by: best

level 1
· 7 yr. Ago
Both room correct reasoning. The kernel of a linear revolution A is by definition the collection of every vectors which acquire mapped to 0; it is as an easy as calculating ab and compare it come 0 to see whether or not b is in the kernel. The vector c have the right to only be in the variety of A just if it lies in the codomain the A, i beg your pardon is R3 for her example; together c lies in R2, it couldn't perhaps be in the variety of A.

1
Reply
Share
ReportSaveFollow
level 2
Op · 7 yr. Ago · edited 7 yr. Ago

Okay, thank you. I just wanted come make certain I construed the concepts for the upcoming exam.

See more: Western Dental &Amp; Orthodontics Moreno Valley, Western Dental Care

Edit: If the c vector remained in the exact same dimensions would certainly that automatically make the vector in the range? Or would I need to do RREF to determine if it's in the range?

1
Reply
Share
ReportSaveFollow
Continue this thread

r/cheatatmathhomework
/r/cheatatmathhomework is free math homework assist sub. Asking for or offering payment will an outcome in a irreversible ban.
67.6k
Members

40

Online

Created Oct 31, 2009
Join

Top short articles march 6th 2015Top posts of march, 2015Top short articles 2015
helpsommos.net coinssommos.net premiumsommos.net gifts
aboutcareerspressadvertiseblogTermsContent policyPrivacy policyMod policy
Back come Top