4. Consider the following transition matrix: 1 2 3 4 5 6 1 0 0 1 0 0 0 2 1 0 0 0 0 0 3 0 .5 00.5 0 5 0 0 0 0 0 1 6 0 0 0 1 0 0 (a) (10 points) Find the stationary distribution. (b) (10 points) Does the chain converge to...
5 1 -2 0-4 Let A=0 0 0 0 13 1 -2 0 -3 5 a. Find a basis for Col A and find Rank A. b. Find a basis for Nul A.
13 please 8. b. -2 3 0 0 0 0 -1 2 0 0-4 0 3 0-2 0 3 0 0 -2 0 3 0 4 o0-1 6 0 0 1 o 2 6 0 0 -1 6 10. For any positive integer k, prove that det(4t) - de(A)*. 11. Prove that if A is invertible, then den(A-1)- I/der(A) -...
5. Consider the matrix A= [1 2 3 2 4 6 0 1 0 0 0 0 3 2 9 1 0 3 0] 31. 0 (a) Find a basis for C(A). (b) Find a basis for R(A). (c) Find a basis for N(A). (d) Find a basis for N(AT). (e) Write the dimension of each of these subspace.
2 -2 (a) 3 (b) 0-2 5 4 -35 (d) 5 2 0 2 0 4 (c) 2 5 0 -1 2 0 0 (e)2 30 2 0 4 3 2-4 -2 D 2 2 0 11 8 6 1. Compute!? for each of the following: ?2 347 (a) A=11 2 4 ?4 3 1 2 0 (b) A 21...
А 2 0 2 0 0 0 0 2 0 0 5 1 0 0 0 2 Is A diagonalizable? If so, find P and D such that A = PDP-1. If not, explain why.
1. Time Cash Flows 0 ($200,000) 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 0 10 $5,000,000 The internal rate of return of this cash flow stream is between 37% and 38%. True False 2. Time Cash Flows 0 ($100,000) 1 0 2 0 3 0 4 0 5 0 6...
can someone help me solve these question? thanks!!! 4. Find the general solution of the system whose augmented matrix is given by 1 -3 0 0-2 (a) 0 1 0 0 -1 0 0 0 94 1 3 -2 0 20 0 2 6 -5 -2 4-3-1 0 0 5 10 0 15 5 May 16, 2019, 4:48 2 6...
A =10 ſi -2 -5 4 3 11 Jo 0 1 -2 0 -4 0 0 0 0 1 3 Lo 0 0 0 0 0 ] Describe all solutions of Ax = 0. x = x2 + 4
0 1 1 0 0 0 2 0 0 3. (8) Given A 0 0 0 0 0 Find: (1) an orthonormal basis for each of the fundamental subspaces of A; (2) the pseudo-inverse of A; (3) the projection matrix of the column space and the projection matrix of the row space of A.