Note that if
It follows that the vectors (1,0,2), (0,1,3) spans the plane P1.
Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at
Consider the linear system
a) Find the eigenvalues and eigenvectors for the coefficient matrix
b) For each eigenpair in the previos part, form a solution of
c) Does the set of solutions you found form a fundamental set (i.e., linearly independent set) of solution? No, it is not a fundamental set.
If u, v, w ∈ R n , then span(u, v + w) = span(u + v, w)