please help with #3 a and b thank you :) problem 2 is provided below 3....
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tak
5. Let T R3 > R3 be the linear transform defined by the following properties: T(0,0,1) = (0,0,0), If v is in the ry-plane, then v is reflected across the x + y = 0 plane There is a matrix A such that T(x) = Ax. The goal of this problem is to understand A. (a) (3 points) Find...
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Solve the system Ax=b using the LU factorization of A and the matrix b given below. -2 0 0 1 -1 -2 7 A=LU= -2 -1 0 0 1 3 -17 2 -1 -2 0 0 1 -5 b= 12 12 -10 You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. The system has infinitely many solutions Number of Parameters:...
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3. (20 points) Teruo Umemoto at the Zhejiang Jiuzhou Pharmaceutical Company in Taizhou City, China, developed the reagent shown below for the transfer of a trifluoromethyl group to a nucleophile. The X is a counterion and can be ignored for the purposes of this problem. 18-cFg Nu F3C-Nu Umemoto's reagent a. One mechanistic possibility for the reaction shown above would be an SN2 reaction. Push the arrows for...
2,3, 6, 7
1. Without matrices, solve the following system using the Gaussian elimination method + 1 + HP 6x - Sy- -2 2. Consider the following linear system of equation 3x 2 Sy- (a) Write the augmented matrix for this linear system (b) Use row operations to transform the augmented matrix into row.echelon form (label all steps) (c) Use back substitution to solve the linear system. (find x and y) x + 2y 2x = 5 3. Consider the...
Need help with this MatLab exercise. Please show all commands in
MatLab.
Enter the following matrices and vectors in MATLAB [ 2 -6 3 ] [ 5 ] -3 A= 2 -7 -2 , B= 2 -2 -3 , b= -13 , c= 3 -1 4], d= 0 [ 7 -2 7 [1 -8 -1 ] [ 10 (a) Perform the following operations: AB, BA, CA and Bd (use standard linear algebra multiplication). - 3 (b) Construct a 6 x...
7. (20 points) Let 0-1 5 3 A -2 34 2 -3-5 (a) ( 15 points) Solve the linear system Ax = b by Gaussian elimination and express the general solution in vector form. (b) (5 points) Write down the corresponding homogenous system Ax-0 explicitly and determine all non-trivial solutions from (a) without resolving the system
7. (20 points) Let 0-1 5 3 A -2 34 2 -3-5 (a) ( 15 points) Solve the linear system Ax = b by...
4. (30 points) Consider the following 2 x 2 system Axb (a) (10 points) Use the elimination algorithm discussed in class and on the homework to turn Ax the form Ux = c, where U is an upper triangular matrix and c is a modified version of b. binto (b) (10 points) Continue the elimination algorithm to turn Ux-c from part (a) into the form Dx d. where D is a diagonal matrix and d is a modified version of...
i need help with the last part
on each question. I am not understanding because I keep getting
those parts incorrect. this is linear algebra
4-3 1 3 Given A and b to the right, write the augmented matrix for the linear system that corresponds to the matrix equation Ax b Then solve the system and write the solution as a vector A = 1 2 3 17 -4 -2 2 18 Write the augmented matrix for the linear system...
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In Problem 27 of Exercises 4.9 you were asked to solve the following linear system dx1 1 dt 50 dx2 1 2 dt 50 75 dx3 1 2 x2 75 dt 25 using elimination techniques. This system is a mathematical model for the number of pounds of salt x(t), x2(t), and x3(t) in the connected mixing tanks A, B, and C shown in Figure 3.3.8 on page 112 (a) Use the eigenvalue method of this section...
3. You are given the following matrix -4 12 2 7 a)4 points) Find a basis for the nullspace of (b) 4 points] Using the columns of A, find a basis for the column space of A (c) [2 points What are the dimensions of these spaces? (d) [2 points] ls the vector u-I1-1 0 ојт in the nullspace of A? Why? (e) [4 points] Is the vector w-17-9 9-9]T İn the column space of A? If so, express w...