4 -4 4(adsbygoogle = window.adsbygoogle || []).push({});

-5 6 -3

0 4 k

form a basis for R^3 if and only if k != ?

since the last col has a k in it, i wanted to see if the first 2 colmuns are linear indepdant, adn they are, becuase i row reduced w/calculator:

4 -4 0

-5 6 0

0 4 0

and got

1 0 0

0 1 0

0 0 0

is there a quick way to figure out the k, without mantually row reducing with k? Also if there isn't a quick way, what am i going to be looking for? it will span R^3 if i get

0

0

1

for the last col with k in it. Thanks.

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# Homework Help: K cannot be what, if you want this matrix to form a basis, confused

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