In Rª, let S = {(1,2,2, –1), (0, –1,4, 2)} and T = U = sp(S) and W = sp(T). Find a basis for U +W and determine the dimension of {(2, 5, 0, –4), (0, 2, –8, 3)}, and let UnW.
In Rª, let S = {(1,2,2, –1), (0, –1,4, 2)} and T = U = sp(S) and W = sp(T). Find a basis for U +W and determine the dimension of {(2, 5, 0, –4), (0, 2, –8, 3)}, and let UnW.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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should i be using: dim(U+W)= dimU + dimW - dim(U intersection W) to determine the. dimensions?
NOTE: u do not have to find a basis. thank you.
Transcribed Image Text:In Rt, let S = {(1, 2, 2, – 1), (0, –1, 4, 2)} and T = {(2,5,0, –4), (0, 2, –8, 3)}, and let
U = sp(S) and W = sp(T). Find a basis for U +W and determine the dimension of
UnW.
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