(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

determine whether or not the given set is a basis for C^3 ( as a C-vector space)

(a) {(i,0,-1),(1,1,1),(0,-i,i)}

(b) {(i,1,0),(0,0,1)}

2. Relevant equations

3. The attempt at a solution

All I did was to put the 3 vectors in part (a) into a matrix as 3 columns. Then I determined that the matrix has 3 leading entries, hence it is a basis. But when I tried using the same method for part (b), it doesnt work. Why is that so?

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# Basis in C-vector space

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