4 1 -1] 3. (6 points) Given the 3 is an eigenvalue of the matrix A=...
12.3. Eigenspace basis 0.0/10.0 points (graded) The matrix A given below has an eigenvalue = -16. Find a basis of the eigenspace corresponding to this eigenvalue. [-8 0 -81 A= 4 -16 -4 | 4 0 -20] How to enter a set of vectors. In order to enter a set of vectors (e.g. a spanning set or a basis) enclose entries of each vector in square brackets and separate vectors by commas. For example, if you want to enter the...
Suppose that λ = 1 is an eigenvalue for matrix A. Find a basis for the eigenspace corresponding to this eigenvalue. A = 3 6 −2 0 1 0 0 0 1
2 2 31 2. A2 6 a. Given that A, -5 is an eigenvalue of A, find a corresponding eigenvector. b. Given that A --3 is an eigenvalue of A, find a basis for the corresponding eigenspace
4 2 3 13. Find a basis for the eigenspace of the matrix A1 1- corresponding to the 2 49 eigenvalue -3. [4 points.]
Q7. (a) Find a basis for the eigenspace of the following matrix corresponding to the eigenvalue X= 2: 4 -1 6 2 16 2 -1 8 (b) Suppose that the vector z is an eigenvector of the matrix A corresponding to the eigenvalue 4. Let n be a positive integer. What is A"r equal to?
Q7. (a) Find a basis for the eigenspace of the following matrix corresponding to the eigenvalue X= 2: 4 -16 2 1 6 2 -1 8 (b) Suppose that the vector r is an eigenvector of the matrix A corresponding to the eigenvalue 1. Let n be a positive integer. What is A" equal to?
(1 point) Find a basis of the eigenspace associated with the eigenvalue 3 of the matrix 1 0 -4 2 3 4 1 0 5 A= 3 3 C Abasis for this eigenspace is 0 -2 0 0 1
(1 point) Find a basis of the eigenspace associated with the eigenvalue 4 of the matrix 4044 24-2-2 10-1-5 1 01 5
3 0 2 0 The matrix A=11 3 1 0 10 has eigenvalue t. Find a basis for the eigenspace E9) 0 0 0 4 3 0 2 0 The matrix A=11 3 1 0 10 has eigenvalue t. Find a basis for the eigenspace E9) 0 0 0 4
matrix algebra 14. 0/3 points | Previous Answers HoltLinAlg2 6.1.067. Consider the matrix A 00-2-11 1 1 7 6 A=12041 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) Find a basis for each eigenspace. 0 (smaller eigenvalue) (larger eigenvalue) 14. 0/3 points | Previous Answers HoltLinAlg2 6.1.067. Consider the matrix A 00-2-11 1 1 7 6 A=12041 Find the eigenvalues of A. (Enter your answers as a comma-separated list.) Find a basis for each eigenspace. 0...