Find a basis for the subspace Q of P2,

Nesma

Save to bookmark

2022-05-28

103

Easy

Find a basis for the subspace Q of P₂,

Q={ p(x) = a+ bx + cx² | p(0) = 0 }

Physics, textbook solutions, Physics textbook-solutions,

Nesma

2022-05-28

need an explanation for this answer? contact us directly to get an explanation for this answer

If p(0) = 0, then a + b(0) + c(0²) = 0, so a = 0. Thus, we can write Q =

A linearly independent set that spans Q is B = {x, x²}, and this set forms a basis of Q.

need an explanation for this answer? contact us directly to get an explanation for this answer

total answers (1)