Let H = Span {V 1 , V 2 } and K = Span {V 3 ,
Question:
Let H = Span {V1, V2} and K = Span {V3, V4}, where
Then H and K are subspaces of R3. In fact, H and K are planes in R3 through the origin, and they intersect in a line through 0. Find a nonzero vector w that generates that line. w can be written as c1v1 + c2v2 and also as c3V3 + C4V4. To build w, solve the equation c1v1 + c2v2 = c3V3 + C4V4 for the unknown cj's.
Transcribed Image Text:
5 2 - - - - - - - [ - ] = [] 小 3 -12 8 4 5 -28
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Since the line lies both in H Spanv 1 v 2 and in K Spanv 3 v 4 w can be written both as c 1 v 1 c 2 ...View the full answer
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Related Book For
Linear Algebra And Its Applications
ISBN: 9781292351216
6th Global Edition
Authors: David Lay, Steven Lay, Judi McDonald
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