Let W be the subspace of R 4 generated by the vectors (1, −2, 5, −3),(2, 3, 1, −4) and (3, 8, −3, −5). find the basis and the dimension of W and the extend the basis of W to a basis of the whole space R 4 .

Cody was 165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school last year.

There are three bags: a (contains 2 white and 4 red balls), b (8 white, 4 red) and c (1 white 3 red). you select one ball at random from each bag, observe that exactly two are white, but forget which ball came from which bag. what is the probability that you selected a white ball from bag a?

Ven the functions, f(x) = 5x2 - 3x + 1 and g(x) = 2x2 + x - 2, perform the indicated operation. when applicable, state the domain restriction. (f - g)(x) 3x2 - 4x + 3 3x2 - 2x - 1 3x2 - 4x - 1 3x2 - 2x + 3