I don't know how to write out matrices nicely on this forum,(adsbygoogle = window.adsbygoogle || []).push({});

but suppose you have some matrices:

[1 0 3]

[2 0 4]

[0 0 5]

This would, by definition, be linearly dependent, spanning a plane in r3..is this correct? Since c1=0, c2=anything, c3=0

where c1v1+c2v2+c3v3=0

With this:

[1 0 3 5]

[3 0 2 4]

[2 0 1 4]

Linearly dependent, spanning all of r3?

[1 4 0 5 2]

[2 3 0 2 4]

[2 9 0 1 1]

Linearly dependent, spanning all of r3?

Are these correct? does the 0 vector hav any special properties with this?

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# Is a set with a 0 vector linearly independent?

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