Recent content by shellizle

Homework Statement Let E and F be two subspaces of R^n. Prove the following statements: (n means "intersection") If EnF = {0}, {u1, u2, ..., uk} is a linearly independent set of vectors of E and {v1, v2,...vk} is a linearly independent set of vectors Note: Above zero denotes the...

Homework Statement how to put x+z=0, and y-z+2w=0 into matrices in terms of two parameters? Homework Equations AX=0, looking for x The Attempt at a Solution x=-z y=z-2w (-1, 1, 1, 0)z, no idea what the other matrix is :S thanks advance guys!

yeah i tried that, our assignment is online based and it tells you immediately if its right or wrong.. however I've tried everything but nothing works! does the order for the eigenvalues matter? (x1, x2,and x3) does the engevectors have to be alligned in a specific way for A=PDP^-1 to be...

Homework Statement Find an invertible matrix P and a diagonal matrix D such that D=P^(-1)AP. A= (−1 2 −2) (−2 3 −2) ( 2 −2 3) Homework Equations The Attempt at a Solution the eigenvalues are 1, 1, and 3 the eigenvector I've found so far is for the eigenvalue 3...