Find all values of k that make the fol- Problem 7 lowing matrix singular: [i 20...
Hello i need help for this! Let A be the matrix below. Find the singular values of A and enter them as a comma-separated list. Use these to find a singular value decomposition A-UEVTUse the square root symbol 'v' where needed to give an exact value for your answer. 11 A = -2 -2 -1 1 Singular values: ??? 0 0 0 0 0 0 0 0 0 A = 0 0 0 0 0 0 0 0 0 0...
Find all the values of k for which the following matrix is invertible [k-1 k-1 0 k2 2 k 0 k-1 k-1
Problem 29: Find a 2-by-3 matrix having rank 1 whose singular value is 2, left singular vector is (1,2)7/V5, and right singular vector is (1,0,1)7/v2. Problem 29: Find a 2-by-3 matrix having rank 1 whose singular value is 2, left singular vector is (1,2)7/V5, and right singular vector is (1,0,1)7/v2.
True or False? 1. If σ is a singular value of a matrix A, then σ is an eigenvalue of ATA Answer: 2. Every matrix has the same singular values as its transpose Answer: 3. A matrix has a pseudo-inverse if and only if it is not invertible. Answer: 4. If matrix A has rank k, then A has k singular values Answer:_ 5. Every matrix has a singular value decomposit ion Answer:_ 6. Every matrix has a unique singular...
7. Give the formula of avoiding roundoff error to solve each of the fol- lowing problem and compute the numerical values. All the results are approximated to 4 digits with rounding arithmetic. (1). Find the roots of the quadratic equation 123 1 2+ 1 0 4 6 (Hint: first observe b and 62 - 4ac) -5+ b2 - 4ac c/a (Answer:21 22 = ; 21 = 92.24, 22 2a I 1 10-3) 5.420 x 9 (2). Compute In (50 –...
Let A be the matrix below. Find the singular values of A and enter them as a comma-separated list. Use these to find a singular value decomposition A= ULV. Use the square root symbol 'V' where needed to give an exact value for your answer. 10 A= -5 -2 [01] Singular values: ??? To 0 0 0 0 0 T0 0 0] A = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0...
8. Consider the real matrix As -1 0 (a) (3 pts) Find the singular values of A. (b) (4 pts) Find a singular value decomposition of A. (c) (3 pts) Find 8. Consider the real matrix As -1 0 (a) (3 pts) Find the singular values of A. (b) (4 pts) Find a singular value decomposition of A. (c) (3 pts) Find
(1 point) Find k such that the following matrix M is singular. -2 М. 2 -1 3 -1 -3 0 -12 -2 + k k =
QUESTION 11 A Find the singular values of the matrix. - 4 0 02 O A 16,-2. OB 16,4 Oc 4,2 OD.-16,4 OE-4,2
DI 9.2-2. * Consider the transportation problem having the fol- lowing parameter table: Destination 1 2 3 4 5 Supply Source 1 - 2 3 4 2 7 8 0 4 4 6 7 0 4 6 3 5 0 2 5 M 2 0 5 7 4 5 0 5 Demand Use each of the following criteria to obtain an initial BF solution. Compare the values of the objective function for these solutions. (a) Northwest corner rule. (b) Vogel's...