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

For what value(s) of λ is the set of vectors {(λ^2-5, 1, 0), (2, -2, 3), (2, -3, -3)} form a basis of ℝ^3

2. Relevant equations

in order for a vector to form a basis it has to span R3 and the set has to be linearly independent.

3. The attempt at a solution

i tried doing row reduction on the matrix but i end up with identity matrix.

which means it would be a basis for any value, which is impossible.

the matrix I'm getting is [1, 0, 0 ; 0, 1, 0; λ^2 -5, 0, 4,]

anybody??

**Physics Forums - The Fusion of Science and Community**

# Values for which a set of vectors form a basis of Rn

Have something to add?

- Similar discussions for: Values for which a set of vectors form a basis of Rn

Loading...

**Physics Forums - The Fusion of Science and Community**