Homework Answers
# statement to create matrix
matrix = [[1,4,7],[2,2,0],[1,3,17]]
# Code to print matrix
for x in matrix:
for y in x:
print(y,end=' ')
print()
-17 1 7 -7 Given A and b to the right, write the augmented matrix for...
-17 1 7 -7 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 = - 2 - 3 3 23 -18 4 2 Write the augmented matrix for the linear system that corresponds to the matrix equation Ax = b. Select the correct choice below and fill in any answer boxes within your...
0 1 2 and B =( 3 For matrix A find AB? 7 1 4 1...
0 1 2 and B =( 3 For matrix A find AB? 7 1 4 1 4 5 2 7 18 42 6 24 A. 24 17 17 В. 7 17 30 42 30 13 18 31 17 42 6 24 2 2 С. 17 7 30 D. 7 17 6 18 17 31 17 13 18 Select one: OA OD
4 0 2 7) Find the eigenvalues of the matrix A= 1-2 3-4 0 0 -...
4 0 2 7) Find the eigenvalues of the matrix A= 1-2 3-4 0 0 - Clearly show your work. (15 points) 3
Use the following matrix: 0 -4-8 2 1 7 6 7 -2 A = 4 -3...
Use the following matrix: 0 -4-8 2 1 7 6 7 -2 A = 4 -3 -1 Find ass
Comoute the determinant of the matrix 1 -2 4 5 028-4 0 0 3 7 Loo...
Comoute the determinant of the matrix 1 -2 4 5 028-4 0 0 3 7 Loo 04 where I denoles the transpose of matrix
Find a basis for the column space of the matrix [-1 3 7 2 0 |1-3...
Find a basis for the column space of the matrix [-1 3 7 2 0 |1-3 -7 -2 -2 1 Let A = 2 -7 -1 1 1 3 and B 1 -4 -9 -5 -3 -5 5 -6 -11 -9 -1 0 0 0 0 It can be shown that matrix A is row equivalent to matrix B. Find a basis for Col A. 3 7 -2 -7 -4 -11 2 -9 -6 -7 -3 0 1 0 0...
2. Consider the matrix 11 2 4 0 0 -1 1 7 0 0 0 6...
2. Consider the matrix 11 2 4 0 0 -1 1 7 0 0 0 6 10 007) Is this matrix diagonalizable? Explain why or why not. 3. Consider the matrix /1 a b 5 0 1 C 3 A = 0 0 1 2 0 0 0 2 For which values of a, b, c E R is A diagonalizable? Justify your answer.
Homework 4: please use python to find the answers. 1. Let A= 1 2 3 4...
Homework 4: please use python to find the answers. 1. Let A= 1 2 3 4 4 6 7 8 9 (a) What is A(2,3) (b) What is AT ? (c) Does A-1 exist? If yes, what is the value? 2. Let 2x + 3y + 4z = 1 -y +2 = 2 4x + y - 2 3 (a) What is the coefficient matrix? (b) Rewrite the linear system in the matrix form AX = b where X =...
The nullity of the matrix 1 -2 0 3-4 3 2 81 4 A= -1 2...
The nullity of the matrix 1 -2 0 3-4 3 2 81 4 A= -1 2 0 4-3 1 5 7 6 0 is n (A) = 3. True False
1 Problem 7 Let A 4 5 - 1 5 0 2 -1 2 3 -4...
1 Problem 7 Let A 4 5 - 1 5 0 2 -1 2 3 -4 7 2 1 3 7 2 -4 2 0 0 10 1 1 a) (4 pts] Using the [V, DJ command in MATLAB with rational format, find a diagonal matrix D and a matrix V of maximal rank satisfying the matrix equation A * V = V * D. Is A real-diagonalizable? b) (4 pts) Write down the eigenvalues of A. For each eigenvalue,...
-17 1 7 -7 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 = - 2 - 3 3 23 -18 4 2 Write the augmented matrix for the linear system that corresponds to the matrix equation Ax = b. Select the correct choice below and fill in any answer boxes within your...
0 1 2 and B =( 3 For matrix A find AB? 7 1 4 1 4 5 2 7 18 42 6 24 A. 24 17 17 В. 7 17 30 42 30 13 18 31 17 42 6 24 2 2 С. 17 7 30 D. 7 17 6 18 17 31 17 13 18 Select one: OA OD
4 0 2 7) Find the eigenvalues of the matrix A= 1-2 3-4 0 0 - Clearly show your work. (15 points) 3
Use the following matrix: 0 -4-8 2 1 7 6 7 -2 A = 4 -3 -1 Find ass
Comoute the determinant of the matrix 1 -2 4 5 028-4 0 0 3 7 Loo 04 where I denoles the transpose of matrix
Find a basis for the column space of the matrix [-1 3 7 2 0 |1-3 -7 -2 -2 1 Let A = 2 -7 -1 1 1 3 and B 1 -4 -9 -5 -3 -5 5 -6 -11 -9 -1 0 0 0 0 It can be shown that matrix A is row equivalent to matrix B. Find a basis for Col A. 3 7 -2 -7 -4 -11 2 -9 -6 -7 -3 0 1 0 0...
2. Consider the matrix 11 2 4 0 0 -1 1 7 0 0 0 6 10 007) Is this matrix diagonalizable? Explain why or why not. 3. Consider the matrix /1 a b 5 0 1 C 3 A = 0 0 1 2 0 0 0 2 For which values of a, b, c E R is A diagonalizable? Justify your answer.
Homework 4: please use python to find the answers. 1. Let A= 1 2 3 4 4 6 7 8 9 (a) What is A(2,3) (b) What is AT ? (c) Does A-1 exist? If yes, what is the value? 2. Let 2x + 3y + 4z = 1 -y +2 = 2 4x + y - 2 3 (a) What is the coefficient matrix? (b) Rewrite the linear system in the matrix form AX = b where X =...
The nullity of the matrix 1 -2 0 3-4 3 2 81 4 A= -1 2 0 4-3 1 5 7 6 0 is n (A) = 3. True False
1 Problem 7 Let A 4 5 - 1 5 0 2 -1 2 3 -4 7 2 1 3 7 2 -4 2 0 0 10 1 1 a) (4 pts] Using the [V, DJ command in MATLAB with rational format, find a diagonal matrix D and a matrix V of maximal rank satisfying the matrix equation A * V = V * D. Is A real-diagonalizable? b) (4 pts) Write down the eigenvalues of A. For each eigenvalue,...
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