Answer
the zero vector is in Col A.
Ax + Aw is in Col A
cAx is in Col A
Work Step by Step
Since A0 0 = , the zero vector is in Col A.
Since Ax + Aw = A(x + w), Ax + Aw is in Col A
Since c(Ax) = A(cx), cAx is in Col A
Linear Algebra and Its Applications (5th Edition)
by Lay, David C.; Lay, Steven R.; McDonald, Judi J.
Published by
Pearson
ISBN 10:
032198238X
ISBN 13:
978-0-32198-238-4
Chapter 4 - Vector Spaces - 4.2 Exercises - Page 209: 29
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
