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9 Nov 2019
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SVD Find the singular value decomposition (SVD) of the 2 times 2 matrix Consider a different 4 times 4 matrix with eigenvalues 0, 1, -2,4. What are the singular values of this matrix?
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Lelia Lubowitz
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Related questions
3, Consider the matrix A = (a) [2 points] Find a 2 x 2 diagonal matrix that has the same eigenvalues as A or explain why this is impossible. (b) [2 points] Find a 2x 2 lower-triangular matrix that has the same eigenvalues as A or explain why this is impossible. (c) 3 points] Find a 2 x 2 matrix with no zero entries that has the same eigenvalues as A or explain why this is impossible. (d) 3 points] Find a 2 x 2 singular matrix that has the same eigenvalues as A or explain why this is impossible.
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3, Consider the matrix A = (a) [2 points] Find a 2 x 2 diagonal matrix that has the same eigenvalues as A or explain why this is impossible. (b) [2 points] Find a 2x 2 lower-triangular matrix that has the same eigenvalues as A or explain why this is impossible. (c) 3 points] Find a 2 x 2 matrix with no zero entries that has the same eigenvalues as A or explain why this is impossible. (d) 3 points] Find a 2 x 2 singular matrix that has the same eigenvalues as A or explain why this is impossible.
tanspider63
2. Find the eigenvalues of the matrix below. Then find singular values from A A To 4 For each A, construct V from eigenvectors of AA and U from the eigenvectors of AAT. Check that A=UZVT
MATH TUTORS CAN HELP STUDENTS WITH THIS PRACTICE EXAM 8. (6.2) Find two power series solutions of the differential equation (x+2)yxy 0 about the ordinary point x and 2 c. 424480 9. (6.3) Find all the singular points for the given differential equation. Classify each one as regular or irregular. DO NOT solve the equations (x-1) irregular singular point x = 1; regular singular point: x-o irregular singular point: x--1; regular singular points: x = 0,3 0 Find all the singular points for the given differential equation. Classify each one as regular or irregular. Do NOT solve the equations. Regular singular point:x-0 irregular singular point: x =-1; Regular singular point x
Show transcribed image text
MATH TUTORS CAN HELP STUDENTS WITH THIS PRACTICE EXAM 8. (6.2) Find two power series solutions of the differential equation (x+2)yxy 0 about the ordinary point x and 2 c. 424480 9. (6.3) Find all the singular points for the given differential equation. Classify each one as regular or irregular. DO NOT solve the equations (x-1) irregular singular point x = 1; regular singular point: x-o irregular singular point: x--1; regular singular points: x = 0,3 0 Find all the singular points for the given differential equation. Classify each one as regular or irregular. Do NOT solve the equations. Regular singular point:x-0 irregular singular point: x =-1; Regular singular point x
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