7. (14 points) Let A = An eigenvalue of A is = 3. Find a basis for the eigenspace of A corresponding to 1 = 3. - [98]
Find a basis for the eigenspace of A associated with the [6 3 77 Let A= 4. 15 4 -3 9 eigenvalue 1 = 4.
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.)...
6 (20 (=5+15) points)). Let A= . -1 1 -1 1 -3 3 (a) Find the eigenvalues of A. (b) For each eigenvalue, find a basis for the corresponding eigenspace.
4. Let E) 6 3 0 [8 Marks] 3 6 0 A = 0 0 11 a) Find the eigenvalues of A b) For each eigenvalue of A, find a basis for the corresponding eigenspace. c) Consider the linear transformation T : R3 -> R3 defined by T(x) = Ax for every xE R3. Find a basis of R3 in which the matrix representing T is diagonal
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?
urgent please,thanks Find all distinct (real or complex) eigenvalues of A. Then find a basis for the eigenspace of A corresponding to each eigenvalue. For each eigenvalue, specify the dimension of the eigenspace corresponding to that eigenvalue, then enter the eigenvalue followed by the basis of the eigenspace corresponding to that eigenvalue. 8 -1 9 A = -9 6 -15 |-6 4 -10 Number of distinct eigenvalues: 1 Dimension of Eigenspace: 1
Let the matrix 10 1 act on c. Find the eigenvalues and a basis for each eigenspace in c? 45 4 Select all that apply. 3+61 I A. 1 =7-61; v= A B. = -7 +61,v= -3-6i 15 6 -3-6 i O c. 1 = 7+6 iv= - 3+6 D. 1 = 7+61,v= 45 Click to select your answer(s). 10 1 Let the matrix act on c? Find the eigenvalues and a basis for each eigenspace in C? 45 4...
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...