3) Find K such that the following matrices are singular 1 2 -11 11 1 -2]...
Determine which of the following matrices are (1) symmetric, (ii) singular, (iii) strictly diagonally dominant, (iv) positive definite. 2 0 0 1 3 0 0 0 4 symmetric [Choose] Singular [Choose] strictly diagonally dominant Yes Yes positive definite matrix [Choose]
Find the eigenvalues of the given matrices Property 2 A matrix is singular if and only if it has a zero eigenvalue 17. 21] 4t 11. Verify Property 2 for 6 A= 3 -1 2 21 7
1. [10 points] Find the inverse for the following matrices or label as singular if not invertible a. 3 6 1 0 1 0
(a) Reduce the following matrices to diagonal form and find a g-inverse of each 120-11 4 5 6 2 2 3 -1 A=158 O 11 and B-1084 7 1o-2 3 21 6 (5+5 (b) () For any n x I vector a 0, show that a (ii) Find the g-inverse of the vector a, where a' = [1 a'a 5 2] 3 1 (a) Reduce the following matrices to diagonal form and find a g-inverse of each 120-11 4 5...
Find k such that the following matrix M is singular. - 2 6 L-19+k 1 4 9 17 4 – 14 22 Submit answer
(1 point) Find k such that the following matrix M is singular. -2 М. 2 -1 3 -1 -3 0 -12 -2 + k k =
3. The following matrices are inverses. 11 3 37 1 4 3 A= A-!= 17 -1 (-1 -3 1 0 -37 0 1 1 3 4 Solve following system of equations I + + + 3y 4y 3y + + + 32 3 4 = = = b b b 1 (a) when by = 0, b2 = 0, and bg = 0. The solution is z, y, z) = (i) (1,-1,1) (ii) (-1,2,1) (iii) (0,0,0) (iv) (7, -2,0) (b)...
1. Determine if each of the following matrices is singular use the determinant to check, use Gauss-Jordan Spring 2019 HW5 method to find the inverse of the non-singular matrices, what is the rank of each matrix. 2. (a) Write the system of linear equations in the form of Ax = b (b) Use Gauss-Jordan method to find A-1 (c) Use A-1 to solve the system of equations
Use permutation matrices to find the singular value decomposition of the matrix 0 0 -3] A=| 0 +8 01. -5 00 Use permutation matrices to find the singular value decomposition of the matrix 0 0 -3] A=| 0 +8 01. -5 00
find the eigen space of 4a and 4c Find the characteristic equations of the following matrices 4. (a) 「 4 0 1 -2 1 0 -2 0 1 (b) [3 0-5 1 1-2 11 1-2 0 (c) 19 5 -4 (d) -1 0 11 -1 3 0 -4 13 1 (e) 5 0 11 ind bases for the eigenspaces of the matrices in Exercise 4 6. Find the characteristic equations of the following matrices 4. (a) 「 4 0 1...