2 1 -2 3 0 1 4 2 1. Let B -3 0 3 ( 1) 2 2 -1 0 (a) Find det(B).(Show all work.) -3 -R2- .A 4 O0-2/2 1-3 0 3 入ス-1 0 I-2 3 det ao -1 O 3 1-3 RyR-( 2 2-10 420 4 (b) Find det(BT). (c) Find det(B-1). (d) Find det(-B) . (e) Is 0 an eigenvalue of B? (f) Are thè columns of B linearly independent?
Let A = {1, 2}, B = {3, 5, 6}, C = {1, 2, 3, 5, 7}, D = {4, 7, 9}, and U = {1, 2, 3, . . . , 9, 10}. 1. Find B ∪ C. 2. Find B ∩ C. 3. Find A ∪ B. 4. Find C ∩ D. 5. Find C'. 6. Find B'. 7. Is 4 ∈ C? 8. Is B ⊆ C? 9. Is A ⊆ C? 10. Are A and B...
Need help solving these two problems Let A--1 1 4 | and B=| 0 3 | . For the partition of A below, find all of the partitions of B that can be used to calculate AB 1 2 3 A=1-1114 Determine whether the set of vectors is a basis for [11 미 미 미1 Let A--1 1 4 | and B=| 0 3 | . For the partition of A below, find all of the partitions of B that...
linear alebra can you do problems 5&6 please. 5. If A is 2 by 3 and B is 3 by 2 ani AB = 1, show from its rank that BA 1. 3 points 6. Find the LU factorization of the matrix for the matrix A [10 points A=11-1 0 1-14 0 -4 What is the LDU factorization? Find the complete solution of Ar = b with b given above. 5. If A is 2 by 3 and B is...
Show that B is the inverse of A. 5 2 -6 A = 6 3 -9 B = -2 -1 4 3 -2 -0 8 9 0 1 3 STEP 1: Find AB. - AB = 11 STEP 2: Find BA. BA = = 1 11
mixture 3. Let 0 0 1 0 1 2 1 2 Z loo 4 X 0 A= and B = Y 4 1 (a) Compute the determinants of the following matrices: A, B, AB, 5AB, and (AB) (b) Compute the inverse of A. X = 3 Y = 3 Z = 6
Find a. b. c. d. e. f. Find C(A) 1 A = - 3 4 -1 9 -2 6 -6 -1 -10 -3 9 -6 -6 -3 3 -9 4 9 0 a. -1 -1 C(A) = b. O NO C(A) = -4 2 10 C(A) = -3 -4 d. -2 C(A) = -6 -6 -3 3 e. 4 9 1 -2 -6 -10 C(A) -3 -3 3 4 0 Of. 0 C(A) = O O 0 O O O...
Let a,b be fa,b (a,b) = (1+ab)/3 0<=a<=1 , 0<=b<=2 0 otherwise a) Find pdf fa and fb b) Are a and b both indepent? explain why
Poole, Section 3.1 5. If A= [1 -2 01 3 2 -1 and B= -2 1 3 [4 -1 | 6 -2 31 5 0 , find: 1 2 ] -12] -1 -5 [ 6 -6 3 (a) 2A+B= 5 9 2 | 2 3 8 [ -15 6 (b) A-4B = 7 -18 1-26 -3 (c) A? (d) (A + B)T [ 6 -12 31 (c) AB = 4 3 7. | 9 12 0 [ -8 -9 11]...
Question 1 (1 point) Let A be the matrix defined below. -8 8 -8 1 -9 7 4 3 A= 7 6 -7 -9 4 9 5 5 -5 7 6 -7 -1 0 -7 -7 Suppose we know that ele 100 0 1 0 } RREFA= 10 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 Find a basis for the null space of A. O -87 6 5 O -9 9 -9 3...