Let λ be a real eigenvalue of a matrix with real entries A. Show that the set Vλ = {x : Ax = λx} is a subspace of R n . If you reduce your solution to a question about null spaces, be sure to include prove that null spaces are subspaces (but that’s fine if you want to do it that way so long as your argument is clear, and correct of course). Hint: check the definition of subspace.

Plz i want answer and i would appreciate it is is a b c or d

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Acredit union pays 5% annual interest, compounded daily, on saving deposits. find the value after one year of $500 deposited in this account. a-$20.40 b-$25.64 c-$520.40 d-$525.64