True False. If c is a scalar and v is a vector, then ||c v|| = c||v||.

True False. If two vectors are orthogonal they are linearly independent.

True False. If v ^ w, and v ^ x, then v ^ w + x.

True False. If proj_uw = w, then w Î span{u}.

True False. If S is a subspace of R^m , then S and S^{^} have no vector in common.

True False. If S is a subspace of R^m , then S Å S^{^} = R^m.

True False. If two nonzero vectors are orthogonal they are linearly independent.

True False. The norm of every vector is positive.

True False. If ||u||² + ||v||² = ||u+v||², then u and v are orthogonal.

True False. For any matrix A, N(A^T)= R(A)^{^}

Written by S.Hudson