(1 point) Suppose B=(8,6,−7) and AB= 〈4,1,−6〉.
Then
A=?
Find the area of the parallelogram with vertices at A=(4,1, -1), B = (5, -6, -3), C = (-1, 2, –5), and D= (0, -5, -7). a) "V971 ob) 27/563 V 1595 od) " 3/59 e) <> 4V131
(1 point) Suppose that A, B, and Care 5 x 5,5 X 6, and 6 x 9 matrices, respectively. Determine which of the following products are defined. (a) BC Answer: undefined (b) CB Answer: undefined (c) AB Answer: 5x5 (d) 42 Answer: 5x5 Note: 1) For those defined, enter the size of the resulting matrix (e.g. 3 x 4 with spaces between the numbers and x). ii)For those undefined, enter undefined.
3? − 1, −5 ≤ ? < 1 ?(?)= { 4,1≤?≤3 6 − ?, 3 < ? ≤ 5 How do I graph this?
(1 point) Consider the function f (x, y) = 3x2 + 4y2. f at the point (-4,1) in the direction given by Find the the directional derivative of the angle 0 Find the vector which describes the direction in which f is increasing most rapidly at (-4, 1) (1 point) Consider the function f (x, y) = 3x2 + 4y2. f at the point (-4,1) in the direction given by Find the the directional derivative of the angle 0 Find...
. Suppose that A is m × n and B is n × m with AB = Im and n 6= m. Show that a) the columns of B are linearly independent and b) the rows of A are linearly dependent. xn and B is n x m with AB = Im and n linearly independent and b) the Suppose that A is m Show that a) the columns of B are т. linearly dependent rows of A are
help please and thanks Consider the game: A (2,3) (2,2) (8,6) B (4,0) () () 8, 6 5, 6 4, 3 1,6 1,8 8,9 3, 2 F(9,)(7,2) (5,3) 3. Cross out all dominated strategies for Player 1. 4. Use iterated dominance to find the Nash Equilibrium 5. Does the Nash equilibrium maximize social welfare? Why? Why not? NE=
(1 point) Find the inverse of AB if -4 -3 A-1 and - 40 B-1 = á J 10.-- (68) (AB)-1 =
Suppose A and B are matrices with matrix product AB. If bi, b2, ..., br are the columns of B, then Ab, Ab2, ..., Ab, are the columns of AB 1. Suppose A is an nxnmatrix such that A -SDS where D diag(di,d2,... dn) is a diagonal matrix, and S is an invertible matrix. Prove that the columns of S are eigenvectors of A with corresponding eigenvalues being the diagonal entries of D Before proving this, work through the following...
Question 7 1 pts 1 -7 6 -4 5 , and AB = [cj]. Find the diagonal 3 4 3 Let A= 0 0 6 BE 0 0 2 entries C11, C22, and C33. 0 2 1 0 C11 C22 C33 hip
2. (a) Consider the following matrices: A = [ 8 −6, 7 1] , B = [ 3 −5, 4 −7] C = [ 3 2 −1 ,−3 3 2, 5 −4 −3 ] (i) Calculate A + B, (ii) Calculate AB (iii) Calculate the inverse of B, (iv) Calculate the determinant of C. (b) The points P, Q and R have co-ordinates (2, 2, 1), (4, 1, 2) and (5, −1, 4) respectively. (i) Show that P Q~ =...