let's say dimU = 1 and dimW = 3 does dim(U+W) always equal dimU + dim W? If not, can someone please show me a counter example? Thankssssssss
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Originally Posted by jayshizwiz let's say dimU = 1 and dimW = 3 does dim(U+W) always equal dimU + dim W? If not, can someone please show me a counter example? Thankssssssss U=span{(1,1,1)} W=span{(2,2,2), (1,0,0),(0,1,0)}
Thanks Also sprach Zarathustra for answering all my questions in all the different math sections.
Originally Posted by math2009 how do we know for sure dim(U) = p+t? There may be a chance that in one of the vectors is a linear combination of the others. But I guess I understand the general thing you were saying... Thanks
are linear independent. They form basis of U,W
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