M=5;n=0 cho hệ các vector
U={(1,2,n);(0,-1,1-n);(2,3,n+1);(1, 0,2-n)}.
a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U.
b. Tìm tham số k để u=(2,3,k^2 +1) là một tổ hợp tuyến tính của W ,và suy ra [u]n

Hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to his brother. alex ended up with 16 video games. how many video games did alex have when he started?

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?

An equation in slope-intersept form the lines that passes thought (-8,1) and is perpindicular to the y=2x-17.