Homework Answers
5. The following matrix B has known eigenvalues λ1-1 and λ2-6. 10a-1 B-0b-23 c30 0 Where...
5. The following matrix B has known eigenvalues λ1-1 and λ2-6. 10a-1 B-0b-23 c30 0 Where a, b and c real numbers and vis the eigenvector associated with the eigenvalue A1. e. Determine as many of a, b, and c as you can. f.Determine the third eigenvalue, if possible. g.Determine the second and third eigenvectors, if possible.
(1 point) Find the eigenvalues of the matrix A . -19 6 0 0 -36 11...
(1 point) Find the eigenvalues of the matrix A . -19 6 0 0 -36 11 0 0 A= The eigenvalues are λ| < λ2 < λ3 < λ4, where has an eigenvector 12 has an eigenvector has an eigenvector 4 has an eigenvector Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues
and v2-0 | are eigenvectors or a matnx A corresponding to the eigenvalues λι-5 and λ2...
and v2-0 | are eigenvectors or a matnx A corresponding to the eigenvalues λι-5 and λ2 -4, respectively. (1 point) if v, = then A(v, + v2)- and A(-2y)- Note: Input a vector using angle brackets and commas. For example, enter 2 as "<1,2,3>". For more information, click help (vectors).
0 6 5 14. The eigenvalues of | 1 4-4 | are: λί = λ2 =-2,...
0 6 5 14. The eigenvalues of | 1 4-4 | are: λί = λ2 =-2, λ3 =-1. The number of X2- 2 10 -9 independent eigenvectors is (a) 1, (b) 2, (c) 3, (d) 4, (e) None of the above 15. The eigenvalues of 4 | are: λί-3, λ2-Ag=-2. Which of the following is not an eigenvector: (a)(b)4((1 0 (e) Each of these is an eigenvector.
Help with number 1 please! Programming for Math and Science Homework 4 Due by 11:59 p.m. Thursday, May 2, 2019 1. Find the eigenvalues and corresponding eigenvectors for the following matrices sin θ...
Help with number 1 please!
Programming for Math and Science Homework 4 Due by 11:59 p.m. Thursday, May 2, 2019 1. Find the eigenvalues and corresponding eigenvectors for the following matrices sin θ cos θ 0 0 4 Verify each calculation by hand and with Numpy. (For the second matrix, pick a value for 0 when using Numpy.) 2. Construct a 3 by 3 orthogonal matrix1. Determine its eigenvalues and find the eigenvector corresponding to the eigenvalue λ-1 3, Construct...
Suppose the eigenvalues of a 3x 3 matrix A are λ1-5 λ2-4 andh"4 with corresponding eigenvectors v...
Suppose the eigenvalues of a 3x 3 matrix A are λ1-5 λ2-4 andh"4 with corresponding eigenvectors v1 = 0 v' 1 and V' -4 Let Cur Atte x,-1-1 | Find the solution or the equation xk + 1 . AXk for the spected xo, and describe what happens as k→00 Find the solution of the equation xx-1 = A4 choose the correct answer below. @a. ½=(5)kl o lli| | | |+2 This c
Suppose the eigenvalues of a 3x 3...
(1 point) Consider a matrix A with eigenvalues λ1-0.6, λ2--05, λ3--1 and corresponding eigenvectors 0 2...
(1 point) Consider a matrix A with eigenvalues λ1-0.6, λ2--05, λ3--1 and corresponding eigenvectors 0 2 V1 6 0 Suppose x4vi 5v2 5v3 a. Find an expression for A*x. 26.6333,18.96667,19.4> b. Find Akx. lim Akx - Note: Fill up all the blanks before submitting your answers. Input vectors using angle brackets and commas. For more information, click help (vectors).
4. (15 pts Consider the following direction fields IV VI (5 pts)Which of the direction fields corresponds to the system x -Ax, where A is a 2x2 matrix with eigenvalues λ,--1 and λ2-2 and correspondin...
4. (15 pts Consider the following direction fields IV VI (5 pts)Which of the direction fields corresponds to the system x -Ax, where A is a 2x2 matrix with eigenvalues λ,--1 and λ2-2 and corresponding eigenvectors vand v- 1? a. is a 2x2 matrix with repeated eigenvalue λ = 0 with defect 1 (has only one linearly independent eigenvector, not two.) and corresponding eigenvector vi- 13 (5 pts) Which of the direction fields corresponds to the system x -Cx, where...
[-5 0 5 5 0 -5 0 0 0 0 -5 0 0 0-5 0 (1 point) 2 The matrix A- has two distinct eigenvalues λ1 < λ...
[-5 0 5 5 0 -5 0 0 0 0 -5 0 0 0-5 0 (1 point) 2 The matrix A- has two distinct eigenvalues λ1 < λ2. Find the eigenvalues and a basis for each eigenspace. whose eigenspace has a basis of , whose eigenspace has a basis of | [1,0,0,1] Note: You can earn partial credit on this problem Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 9 times. You received a...
Help with question #5, please! Programming for Math and Science Homework 4 Due by 11:59 p.m....
Help with question #5, please!
Programming for Math and Science Homework 4 Due by 11:59 p.m. Thursday, May 2, 2019 1. Find the eigenvalues and corresponding eigenvectors for the following matrices sin θ cos θ 0 0 4 Verify each calculation by hand and with Numpy. (For the second matrix, pick a value for 0 when using Numpy.) 2. Construct a 3 by 3 orthogonal matrix1. Determine its eigenvalues and find the eigenvector corresponding to the eigenvalue λ-1 3, Construct...
5. The following matrix B has known eigenvalues λ1-1 and λ2-6. 10a-1 B-0b-23 c30 0 Where a, b and c real numbers and vis the eigenvector associated with the eigenvalue A1. e. Determine as many of a, b, and c as you can. f.Determine the third eigenvalue, if possible. g.Determine the second and third eigenvectors, if possible.
(1 point) Find the eigenvalues of the matrix A . -19 6 0 0 -36 11 0 0 A= The eigenvalues are λ| < λ2 < λ3 < λ4, where has an eigenvector 12 has an eigenvector has an eigenvector 4 has an eigenvector Note: you may want to use a graphing calculator to estimate the roots of the polynomial which defines the eigenvalues
and v2-0 | are eigenvectors or a matnx A corresponding to the eigenvalues λι-5 and λ2 -4, respectively. (1 point) if v, = then A(v, + v2)- and A(-2y)- Note: Input a vector using angle brackets and commas. For example, enter 2 as "<1,2,3>". For more information, click help (vectors).
0 6 5 14. The eigenvalues of | 1 4-4 | are: λί = λ2 =-2, λ3 =-1. The number of X2- 2 10 -9 independent eigenvectors is (a) 1, (b) 2, (c) 3, (d) 4, (e) None of the above 15. The eigenvalues of 4 | are: λί-3, λ2-Ag=-2. Which of the following is not an eigenvector: (a)(b)4((1 0 (e) Each of these is an eigenvector.
Help with number 1 please!
Programming for Math and Science Homework 4 Due by 11:59 p.m. Thursday, May 2, 2019 1. Find the eigenvalues and corresponding eigenvectors for the following matrices sin θ cos θ 0 0 4 Verify each calculation by hand and with Numpy. (For the second matrix, pick a value for 0 when using Numpy.) 2. Construct a 3 by 3 orthogonal matrix1. Determine its eigenvalues and find the eigenvector corresponding to the eigenvalue λ-1 3, Construct...
Suppose the eigenvalues of a 3x 3 matrix A are λ1-5 λ2-4 andh"4 with corresponding eigenvectors v1 = 0 v' 1 and V' -4 Let Cur Atte x,-1-1 | Find the solution or the equation xk + 1 . AXk for the spected xo, and describe what happens as k→00 Find the solution of the equation xx-1 = A4 choose the correct answer below. @a. ½=(5)kl o lli| | | |+2 This c
Suppose the eigenvalues of a 3x 3...
(1 point) Consider a matrix A with eigenvalues λ1-0.6, λ2--05, λ3--1 and corresponding eigenvectors 0 2 V1 6 0 Suppose x4vi 5v2 5v3 a. Find an expression for A*x. 26.6333,18.96667,19.4> b. Find Akx. lim Akx - Note: Fill up all the blanks before submitting your answers. Input vectors using angle brackets and commas. For more information, click help (vectors).
4. (15 pts Consider the following direction fields IV VI (5 pts)Which of the direction fields corresponds to the system x -Ax, where A is a 2x2 matrix with eigenvalues λ,--1 and λ2-2 and corresponding eigenvectors vand v- 1? a. is a 2x2 matrix with repeated eigenvalue λ = 0 with defect 1 (has only one linearly independent eigenvector, not two.) and corresponding eigenvector vi- 13 (5 pts) Which of the direction fields corresponds to the system x -Cx, where...
[-5 0 5 5 0 -5 0 0 0 0 -5 0 0 0-5 0 (1 point) 2 The matrix A- has two distinct eigenvalues λ1 < λ2. Find the eigenvalues and a basis for each eigenspace. whose eigenspace has a basis of , whose eigenspace has a basis of | [1,0,0,1] Note: You can earn partial credit on this problem Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 9 times. You received a...
Help with question #5, please!
Programming for Math and Science Homework 4 Due by 11:59 p.m. Thursday, May 2, 2019 1. Find the eigenvalues and corresponding eigenvectors for the following matrices sin θ cos θ 0 0 4 Verify each calculation by hand and with Numpy. (For the second matrix, pick a value for 0 when using Numpy.) 2. Construct a 3 by 3 orthogonal matrix1. Determine its eigenvalues and find the eigenvector corresponding to the eigenvalue λ-1 3, Construct...
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