9 5-7 3 Let u= -3 and A = -3 5 Is u in the plane in R³ spanned by the columns of A? Why or why not? 9 1 1 Select the correct choice below and fill in the answer box to complete your choice. (Type an exact answer for each matrix element.) A. Yes, multiplying A by the vector writes u as a linear combination of the columns of A. B. No, the reduced echelon form of the augmented matrix is which is an inconsistent system.

Let A = 1 - 3 - -4 - 3 3 0 and b = b2 Show that the equation Ax = b does not have a solution for all possible b, and describe the set of all b for which Ax = b does have a solution. 4 2 6 b3 How can it be shown that the equation Ax = b does not have a solution for all possible b? Choose the correct answer below. A. Row reduce the augmented matrix [(A b] to demonstrate that ☐ A b has a pivot position in every row. B. Row reduce the matrix A to demonstrate that A has a pivot position in every row. C. Row reduce the matrix A to demonstrate that A does not have a pivot position in every row. D. Find a vector x for which Ax = b is the zero vector. E. Find a vector b for which the solution to Ax = b is the zero vector. Describe the set of all b for which Ax = b does have a solution. 0 = (Type an expression using b₁, b₂, and b3 as the variables and 1 as the coefficient of b3.)

The probability that a student passes a test is 0.7. If 5 students appear for the test,find the probability that exactly 3 pass. (Hint: Binomial distribution)