Linear AlgebraSolutionMT 3t 5t2 3 t E R let us say v1 v2v3

Linear Algebra:

Solution

M^T = [3t 5t^2 3 ] t E R

let us say v1, v2,v3 are vectors that m can be written

so to be in vector space M = av1 +bv2 +cv3 condition must satisfy

here a,b,c are any numbers

let v1 = [t 2t^2 0] and v2= [t t^2 3] v3 = [2t , 5t^2 ,6]

so here v1, v2 ,v3 doesn\'t satisfy the subspace of R^3