Problem 2: This is a continuation of the above, and I will probably live to regret this question,...
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...
2 +2y - 2=3, I-y=2, 2.0 + y - 2= 5. 1. Write the system as an augmented matrix and perform some elementary row operations to make it in row reduced row echelon form. 2. What is the rank of the augmented matrix? How many free variables does this system have. 3. Write the solutions of the system in parametric form. 4. Consider the following system 2 + 2y - 2=3, r-y=2, 2.x + y -2=1. (The only difference is...
Name: PERM: Directions: Read each question carefully and complete the problem. Please justify all of your answers and explain your arguments clearly. Answers without justification will not re- ceive credit. and : 1. For parts (a)-(a), consider the following inhomogeneous linear system in variables I, y, 32-6y +9=6 -1 +8y +2 = 8 (a) (2 points) Give the corresponding augmented matrix form of the system. (b) (3 points) Apply elementary row operations to the augmented system until it is in...
2. Consider the linear system -2.c + 3y + 2 = 5 4.c +9y-322 = 5 -2.c + 18y - 292 = 20 (a) Write down the augmented matrix of the linear system. (b) Find the reduced row-echelon form of your matrix from part (a). (c) Using your answer to part (b), write down the solution to the linear system. Clearly indicate which variable(s) (if any) you are using as a free variable(s).
I understand and got part A and B. I am not sure what to do about Part C. A real in-depth answer with the math worked out would be much appreciated! Thanks! 1. Consider matrix equation Ax=b with (2 4 3 -2 A. Convert the augmented matrix to reduced echelon form without using fractions at any intermediate stage. Clearly indicate the operations used in each step. B. Find the set of all solutions, write the solution in the vector form...
2 x [b] Consider the following linear system of equations AX =B : (i) Determine a basis for the row space of A. (ii) Compute the Rank of the augmented matrix (A:B), then use it to classify the solution of this system (Unique - Many -No: solution). (iii) Is the matrix A diagonalizable? Explain your answer and verify the similarity transformation.
U 10 I LI IU I LILIUI IUL 2. (Bases for column and row spaces) Suppose A is a 3 x 3 matrix with pivots in exactly the first and second columns. Suppose B is the unique reduced echelon form of A. (a) We know that the first and second columns of A form a basis for Col A. Is it necessarily true that the first and second columns of B form a basis for Col A? If so, explain...
For all the exercises below you may use MATLAB to check your answers, but you must solve everything by hand and show all your working. 2. Consider the system of equations Ax b described by: BAEJEHE 2 1 1 -1 2 k 2 -4 9 3-6k k+1 ion where k is an unknown constant. (a) Perform row operations on the augmented matrix Ab] to get as close as you can to row echelon form without knowing the value of k....
3. Let A 2 -30 1 0 -2 2 0 (i) Compute the determinant of A using the cofactor expansion technique along (a) row 1 and (b) column 3. (ii) In trying to find the inverse of A, applying four elementary row operations reduces the aug- mented matrix [A1] to -2 0 0 0 0 -2 2 1 3 0 1 0 1 0 -2 Continue with row reductions to obtain the augmented matrix [1|A-') and thus give the in-...
In matlab, I keep getting the same issue for this problem can someone help? "myrowproduct.m" >> Filename myrowproduct (A,x) Undefined function or variable 'Filename' Did you mean: mfilename : myrowproduct (A, x) Undefined function or variable 'myrowproduct' function y = myrowproduct(A,x); function y my rowp roduct (A, x); Error: Function definition not supported in this context. Create functions in code file. (, 2,,)T 4. The product y Ax of an m x n matrix A times a vector x= can...