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Vector : Ranks watch

1. Are Linearly independant...with Rank of 2

What if you have

x=

What is the rank of this??

I don't understand how you actually calculate rank, can you show me examples where rank may be 3 or 1?

2. The (column) rank of a matrix is the (maximum) number of linearly independent column vectors in the matrix. (Linear independence of vectors means that if you have a set of vectors then for every .)

So, for example, and are not linearly independent (and are therefore linearly dependent), since .

Does this help?
3. Aye, does make sense, so for the square matrix above there is no rank?
4. There is a rank - what is the greatest number of linearly independent vectors in the matrix? (Given that only if [supposing ].)
5. Much appreciated ... Thanks I just found it it's worth a mark. (wasted your time I know)...You don't perhaps know of Kuhn Tucker...?

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Updated: February 9, 2010
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