4 2 3 13. Find a basis for the eigenspace of the matrix A1 1- corresponding...
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
Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue. A = Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue. -7 16 0 1 1 005 (a) the characteristic equation of A 2+7 2–1 2–5 = 0 (1 - 5)(1 - 1)(x + 7) = 0 (b) the eigenvalues of A (Enter your answers from smallest to largest.)...
This Question: 1pl 1 of 30 (0 complete) Find a basis for the eigenspace corresponding to the eigenvalue. - 1 A= 81 - 6 1 22 6 2=7 5 A basis for the eigenspace corresponding to a = 7 is {} (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Us Enter your answer in the answer box hp
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
(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
Find the characteristic equation of A, the eigenvalues of A, and a basis for the eigenspace corresponding to each eigenvalue. -6 1 4 A= 0 1 1 003 (a) the characteristic equation of A [ (b) the eigenvalues of A (Enter your answers from smallest to largest.) (21, A2, A3) -([ (c) a basis for the eigenspace corresponding to each eigenvalue basis for the eigenspace of λι - basis for the eigenspace of 12 = basis for the eigenspace of...
Let the matrix below act on C? Find the eigenvalues and a basis for each eigenspace in c? 1 2 - 2 1 1 2 The eigenvalues of - 2 1 (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) are A basis for the eigenspace corresponding to the eigenvalue a + bi, where b>0, is (Type an exact answer, using radicals and i as needed.) A basis for the eigenspace...
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...