Determine the rank of matrix A, if possible, from the given information. (a) A is an n-by-n matrix with linearly independent columns. (b) A is a 6-by-4 matrix and Null(A) = {O}. (c) A is a 5-by-6 matrix and dim(Null(A)) = 3. (d) A is a 3-by-3 matrix and det (A) = 17. (e) A is a 5-by-5 and dim(Row(A)) = 3. (f) A is an invertible 4-by-4 matrix. (g) A is a 4-by-3 matrix and Ax = b has either a unique solution or else no solution. (h) A is a 8-by-8 matrix and dim(Row(AT)) = 6. (i) A is a 7-by-5 matrix in which dim(Null(Ar)) = 3.

What is the range of the relation in the table below? x y –2 0 –1 2 0 4 1 2 2 0

If sin(x) = 0 and cos(x) = 1, what is tan(x)?

Using pert, adam munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 4. a) what is the probability that the project will be completed in 17 months? b) what is the probability that the project will be completed in 20 months? c) what is the probability that the project will be completed in 23 months? d) what is the probability that the project will be completed in 25 months? e) what is the due date that yields a 95% chance of completion?