Also find the Eigenvalues of B
Problem 2 Compute the determinant of 1 0 0 B - XId, where Id = 10 1 0 C: 0 0 1 B= 1 0 0 2 1 -2 3 2 1
3. Let A 2 -30 1 0 -2 2 0 (i) Compute the determinant of A using the cofactor expansion technique along (a) row 1 and (b) column 3. (ii) In trying to find the inverse of A, applying four elementary row operations reduces the aug- mented matrix [A1] to -2 0 0 0 0 -2 2 1 3 0 1 0 1 0 -2 Continue with row reductions to obtain the augmented matrix [1|A-') and thus give the in-...
2. Compute the determinant of the following matrices. (a) 2 -1 2 5 -4 A= 3 -11 9 0 (b) 1 2 1 2 1 A= -1 -1 2 1 1 2 (apply row reductions combined with cofactor expansion)
(1 point) Compute the determinant of the matrix -1 -2 -4 -6 -7 -7 7 7 A= 0 0 0 0 -4 -5 7 det(A) (1 point) Find the determinant of the matrix 6 A- 6 -9 -7 det(A) (1 point) Find the determinant of the matrix 2 2 -2 B= 1 -1 2 3 -2 det (B)
QUESTION 1 Compute the determinant of A by any method where 1 4 -2 2 A= 2 0 3 0 2 0 1 - 2 | -1 -2 1 1 Attach File Browse My Computer Browse Content Collection
Find the terms of the determinant associated with the
permutations 2,3,1,4 and 3,1,4,2
Compute the determinant?
1 [? ? 0 1 -1 0 3 -1 3 0 ? 0 4 ?
Use Gauss elimination, compute the determinant of the matrix o 0 2 0-1 4 4 5 1 2 0 0 7 2 5 -1 5 6 5 0 -1 5 0 4 8
0 1 (c) Consider the matrix0 2 -2 k 3 i. Compute the determinant. ii. For what value(s) of k does A exist? iii. For what value(s) of k does the linear system A7 = 7 have nontrivial solutions? iv. For what value(s) of k does A have zero as an eigenvalue? v. For any vector be R*, find the value(s) of k for which the linear system A7 = b has a unique solution.
Compute the determinant of the matrix by cofactor expansion 3 2 5 1 1 4 3 3 4 O A. 110 O B. -56 C. ?D.-8
1 9. (5 points) Find the determinant of A= 3 3 0 0 2 0 1 -1 0 0 2 1 6 4