-8 -24 -12 (16 points) Let A= 0 4 0 6 12 10 (a) (4 points) Find the eigenvalues of A. (b) [6 points) For each eigenvalue of A, find a basis for the eigenspace of (b) [6 points) is the matrix A diagonalizable? If so, find matrices D and P such that is a diagonal matrix and A = PDP 1. If not, explain carefully why not.
16. Let 1 + 01 1 1 1 + A2 1 1 1 1 1 1 1 A= 1 + 03 1 1 1 1 + 04 Suppose ai, A2, A3, A4 are nonzero, show that 1 1 1 1 det (A) A1A2A304 (1+6 + + + A2 03 TE 04
Product A Product B 16 12 12 10 8 6 2 4 Quantity per period st st 24 20 (1) Quantity Product A MU per $ (at $2) Product B MU MU 1 2 3 a) From the graph above, complete columns 2 and 4 of the table above. Round your answers to 2 decimal places. b) If the price of both products is $1, what quantity of each good would Marshall purchase if his budget was $8? Quantity of...
What is this molecule? Please show all work for C6H12O
d (131.3) s(a2) (381) d s.1 19 2 5 4 ppm 6 8 3 5 7 9
d (131.3) s(a2) (381) d s.1 19 2 5 4 ppm 6 8 3 5 7 9
Let X and Y have the following joint distribution: X Y012 12/16 1/16 5/16 2 1/161/16 6/16
(1 point) Let 5 -15 50 A=1-1 2 4 | and b=I-12 4 16 」 A linear transformation T : R2 → R3 is defined by T x) = Ax. Find an x in R2 whose image under T is b. X2
2. Let 1 a8 A = 1 a2 6 0 6 1 (a) Use Sylvester's criterion (see study guide set of values of the parameter a for which the matrix A is positive definite or handout on Stream) to find the -2, the quadratic form x7Ax is indefinite (b) Now let a = -2. When a Without finding the eigenvectors of A, find a vector x such that XTAX >0 and a vector y such that yTAy < 0.
2....
Chapter 7: Problem 4 1 4 -2 6 (1 point) Let A- 3 6 -24 12 36 | Find basis for the kernal and image of the linear transformation T defined by T 12 6 18 Z)-Ai SAMSUNG
4. Let A and B be n x n such that B = 1-A and A2 = A. Show that AB BA = 0 4. Let A and B be n x n such that B 1-A and A2 = A. Show that AB-BA-0
4. Let A and B be n x n such that B = 1-A and A2 = A. Show that AB BA = 0
4. Let A and B be n x n such that B...
Groups 2-4 4-6 6-8 2-4 4-6 6-8 8-10 10-12 12-14 14-16 16-18 18-20 f f 102 18 40 24 47 80 21 15 66 Find a) Arithmetic mean b) Median c) Mode d) Differentiate between Arithmetic mean, Harmonic mean, and Geometric mean using 2 applications of each.