[ 2/4 0-1;01/26; 1/204] 13) (20 pts) Find the inverse of the matrix from question 12.
12) (20 pts total) Find the eigenvalues and eigenvectors of the following matrix, Choose x1=1: [2/4 0 -1; 01/26; 1/204) (20 pts)Find the inverse of the matrix from question 12. I te To keep up-to-date with security updates, fixes, and improvements, choose Check for Upd c (2-1) 12) (20 pts total) Find the eigenvalues and eigenvectors of the following matrix, Choose x1=1: [2/40-1; 01/26;1/204) (20 pts) Find the inverse of the matrix from question 12.
12) (20 pts total) Find the eigenvalues and eigenvectors of the following matrix, Choose x1=1: [ 2/4 0 -1; 01/26; 1/204]
13. Find the inverse of the nonsingular matrix-1 0 27 2 3 -1 0 1
Find the inverse, if it exists, of the given matrix 1 0 0 OA. 0 1 1 0 0 1 1 0 0 2-1 1 Find the inverse, if it exists, of the given matrix. 5 12 5 2 A. 12 5 5 -12 -2 5 -5 2 12 -5 -5-12 -25 OB. O c. O D. Determine whether the two matrices are inverses of each other by computing their product. 9 4-22 2 -45 O No O Yes
12 31 Given a matrix A = (a) (40 pts) Compute the inverse of matrix A by: + Solving Ax=b with b set to [1, 0]T and [0, 1]T + Using Gaussian Elimination with Partial Pivoting (GEPP) (b) (20 pts) Compute the Lo row-sum norm condition number of the matrix A. CS Scanned with CamScanner
QUESTION 12 8 - 2 -20 5 Find the characteristic equation of the matrix 0 161-3) = 0 0 a 1²- 134 - 800 b c A4 +13) = 0 • a 10-13) - 0 on 1² - 134 - 80 - 0 QUESTION 13 Use the funtion TV, V, Vy) = (20, +Vy, V, - vy) to find the image of v = (1, 2,5). a.(4.1) b.(4.1) (5.1) d. (03)
Question 4 12 pts 1 -1 1 1 0 1 -1 (a) Consider the matrix ) = 1 0 1 3 1 -3 (i) Find the space B of all vectors b € R3 such that the linear system Jx = b is consistent 4 pts 2 3 (ii) Construct a basis for space B and hence determine its dimension. 2 pts
points 5. Find the inverse of the following matrix: 10 -1] -4 1 3 2 0 3 | 1
Question 5. (20 pts.) a)Find Eigenvalues and Eigenvectors of the following matrix 3 2 6 1 -2 3 L6 4 12 b) Find the Fourier series representation of the function with period 21 given by t2 0 <t<TE i < t < 270 f(t) = {.
Determine if each following matrix is invertible. If so, find the inverse matrix. [1 0 1 2 2 3] 12 -1 3 5 -1