(a) let v = r 2 be the vector space of 2-dimensional real row vectors. decide which of the following subsets of v are vector subspaces of v and which aren’t. justify your answers. (i) l1 = {(x, y)|y = 3x}. (ii) l2 = {(x, y)|y = 3x + 1}. (iii) p = {(x, y)|y = x 2}. (b) let w = m at2×2(r) be the vector space of 2 × 2 real matrices. decide which of the following subsets of w are vector subspaces of w and which

Solve the problem by making up an equation. a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 3 times the age of the child?

Iwill give you ! what is the measure of ∠v ?

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?