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...
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]...
(a) Reduce the following matrices to diagonal form and find a g-inverse of each 120-11 4 5 6 2 2 3 -1 A=158 O 11 and B-1084 7 1o-2 3 21 6 (5+5 (b) () For any n x I vector a 0, show that a (ii) Find the g-inverse of the vector a, where a' = [1 a'a 5 2] 3 1 (a) Reduce the following matrices to diagonal form and find a g-inverse of each 120-11 4 5...
Given that the inverse of 1 2 3 A = 2 5 3 is 1 9 = -3 Then all -1 0 8. -40 16 A-1 13 1 – 12 5 -2 possible value(s) of t is(are): OA. VO OB. IVO CC. -6 OD. FV3 N.
Q3 (3 points) Show that if both AB and B A are defined then AB and BA are square matrices. + Drag and drop your images or click to browse... Q4 (3 points) Let A = (a) be a 2 x 2 matrix. The trace of A. which we denote by tr(A) is a number defined as tr(A) = 0 + 0x2. Prove the following properties of this number for 2 x 2 matrices A and B and a real...
three seperate questions multiple choice Given A= -(-18)and B=(1-32] Find the matrix product AB, if it is defined. 0-6 21 1 -18 12 [-28 - 3 6-71 -20 -1 19 (3 7-11 -20 19 AB is undefined. The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, if the products are defined A is 2 * 3, B is 3 * 2. AB is 3 x 3, BA is...
Please show the steps! Find the inverse of the matrix, if it exists. 2 -5 2 0 0 1 1 -3 1 a. [2 1 5 1 -4 3 0 1 1 1--2 172 0 -1 0 1 -4 2 0 1 1 the inverse does not exist e,
-trix Example 1: Solve the following systems by finding the inverse of AT 13x+y = 3 ems by finding the inverse of the coefficient matrix. [21] B[] cx[j] ab 2 lil (x-2y=8 A -1 Find Al=ad.bc = 1(1) - 1(2) = -1 to 2 x + y = 1 12x + y = 3 A TAL- Z1J IN X=-4+3 x -y=1 sx+y=3 TGA 16-17 -11-25 -110/= 9. x - y = 1 X = A B - 27- 177 2...
[4 points (a) Find the inverse of the matrix A= -1 2 2 3 -6 -5 2 -3 -4 using row operations. -1 + + 2.63 (b) Use your answer in part (a) to solve the system + 3.02 6.62 502 2 and state what the answer 21 2.1 9 1 means about the intersection of the 3 planes.
Modern Algebra, MAT 401 Test 3. Show your work (b) 1. Find a solution x E ZOSXsn for the congruence (a) 8x+3= 5 mod 9 8x=l(mod 21) 2. Find the least positive integer that is congruent to: (a) (14+46+65+92Xmod 11) (b) (717)(32)(62)(mods) (c) 62(mod5) 3. Solve the system (a) x = 2(mod 5) em a lx = 3(mod 8) x 4(mod 7) (3x + 2 = 3(mod 8) 4. Solve the system (a) [4][x] + [2][y] = [1] () {[3][x]...