Homework Answers
8. Factor the following matrices into PA= LU. Also factor them into A=LP U1. A= [120]...
8. Factor the following matrices into PA= LU. Also factor them into A=LP U1. A= [120] 2 4 1 1 1 3 and A= 4 0 1 2 1 5 ] 2 1]
1. (a) Factor the matrix into the form A= PT LU, where P is a permutation...
1. (a) Factor the matrix into the form A= PT LU, where P is a permutation matrix: A = o 2 31 1 1 -1 . 10- 11 You may use the computer but each step of the factorization must be shown. In other words, this is to be done " by hand" but you can use the computer to do your basic arithmetic. (b) Determine the 2-norm of the matrix A using a built-in command on the computer.
1 3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary...
1
3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1
3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1
2. (5 pts) Do the following matrices form a group? 1 0 Here = ei2r/3. If...
2. (5 pts) Do the following matrices form a group? 1 0 Here = ei2r/3. If not, add the minimum nunber of 2x2 matrices to form a group. Then make a list of all possible subgroups
1. Find the row echelon form for each of the following matrices: 2 -3 -27 (a)...
1. Find the row echelon form for each of the following matrices: 2 -3 -27 (a) 2 1 1 [ 221] 1 - 2 -4 1] 1 3 7 2 2 1 -12 -11 -16 5 To 1 37 1-30 2 -6 2 Lo 14
Problem 2 (a) Find the LU factorization of the following matrix, then verify your answer by...
Problem 2 (a) Find the LU factorization of the following matrix, then verify your answer by computing LU -1 4 5 a) 6 2 -4 1 -21 (b) Find the determinants of the following matrices. Show all your calculations and steps: [-1 4 51 a)6 2 -4b) 0 6 8 2 -4 3 3 2 6 8 10
Classify the following matrices (a) A 1 2 3 3 4 (b) A = 3 1...
Classify the following matrices
(a) A 1 2 3 3 4 (b) A = 3 1 - 3 4 2 -3 2 4. 1
1 1 Question 2 Put the following matrices into Echelon Form and find the solution set...
1 1 Question 2 Put the following matrices into Echelon Form and find the solution set of each 2 a) 1 -3 4 1 1 -1 2 b) 4 8 -12 8 06 -1 11 1 1 0 -1 c) 0 1 -1 -1 04 -4 -8
Only B and C Math 301:3 Problem Set 2 1. Reduce the following matrices to row-echelon...
Only B and C
Math 301:3 Problem Set 2 1. Reduce the following matrices to row-echelon form, and then to reduced row-echelon form. 2 3 -11 20 1 1-3 3 1 5 5 9 -1 30 14 1 -3 0 0 -1 2 -6 2 4 0 0134
Thanx in advance. Problem 5: For the following matrices, use MATLAB to find the rank and the Row Reduced Echelon Form (RREF) of each of the following matrices. Verify your answers by solving the ques...
Thanx in advance.
Problem 5: For the following matrices, use MATLAB to find the rank and the Row Reduced Echelon Form (RREF) of each of the following matrices. Verify your answers by solving the question by hand. 0-1 1 -2 b) B c) C-2 2 -2 0 -1 3 3 2
Problem 5: For the following matrices, use MATLAB to find the rank and the Row Reduced Echelon Form (RREF) of each of the following matrices. Verify your answers by...
8. Factor the following matrices into PA= LU. Also factor them into A=LP U1. A= [120] 2 4 1 1 1 3 and A= 4 0 1 2 1 5 ] 2 1]
1. (a) Factor the matrix into the form A= PT LU, where P is a permutation matrix: A = o 2 31 1 1 -1 . 10- 11 You may use the computer but each step of the factorization must be shown. In other words, this is to be done " by hand" but you can use the computer to do your basic arithmetic. (b) Determine the 2-norm of the matrix A using a built-in command on the computer.
1
3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1
3 1. Find the inverse using elementary matrices A 2-3 Find a sequence of elementary matrices whose product is the given matrix. 2-H 4 3 Find an LU-factorization. 3 01 6 1 1 3. -3 1
2. (5 pts) Do the following matrices form a group? 1 0 Here = ei2r/3. If not, add the minimum nunber of 2x2 matrices to form a group. Then make a list of all possible subgroups
1. Find the row echelon form for each of the following matrices: 2 -3 -27 (a) 2 1 1 [ 221] 1 - 2 -4 1] 1 3 7 2 2 1 -12 -11 -16 5 To 1 37 1-30 2 -6 2 Lo 14
Problem 2 (a) Find the LU factorization of the following matrix, then verify your answer by computing LU -1 4 5 a) 6 2 -4 1 -21 (b) Find the determinants of the following matrices. Show all your calculations and steps: [-1 4 51 a)6 2 -4b) 0 6 8 2 -4 3 3 2 6 8 10
Classify the following matrices
(a) A 1 2 3 3 4 (b) A = 3 1 - 3 4 2 -3 2 4. 1
1 1 Question 2 Put the following matrices into Echelon Form and find the solution set of each 2 a) 1 -3 4 1 1 -1 2 b) 4 8 -12 8 06 -1 11 1 1 0 -1 c) 0 1 -1 -1 04 -4 -8
Only B and C
Math 301:3 Problem Set 2 1. Reduce the following matrices to row-echelon form, and then to reduced row-echelon form. 2 3 -11 20 1 1-3 3 1 5 5 9 -1 30 14 1 -3 0 0 -1 2 -6 2 4 0 0134
Thanx in advance.
Problem 5: For the following matrices, use MATLAB to find the rank and the Row Reduced Echelon Form (RREF) of each of the following matrices. Verify your answers by solving the question by hand. 0-1 1 -2 b) B c) C-2 2 -2 0 -1 3 3 2
Problem 5: For the following matrices, use MATLAB to find the rank and the Row Reduced Echelon Form (RREF) of each of the following matrices. Verify your answers by...
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