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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- July 7th 2010, 10:20 PMjayshizwizdimensions U, W, U+W
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 - July 7th 2010, 10:33 PMAlso sprach Zarathustra
- July 7th 2010, 10:39 PMjayshizwiz
Thanks Also sprach Zarathustra for answering all my questions in all the different math sections.

- July 8th 2010, 01:29 AMmath2009

- July 8th 2010, 01:43 AMjayshizwiz
- July 8th 2010, 02:02 AMmath2009
are linear independent.

They form basis of U,W