Let the matrix below act on C. Find the eigenvalues and a basis for each eigenspace...
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...
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...
Find the characteristic polynomial and the eigenvalues of the matrix. 3 1 -15 The characteristic polynomial is (Type an expression using à as the variable. Type an exact answer, using radicals as needed.) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The real eigenvalue(s) of the matrix is/are (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed. Type each answer only once.) OB. The...
Find the characteristic polynomial and the eigenvalues of the matrix. 26 -7 7 The characteristic polynomial is (Type an expression using a as the variable. Type an exact answer, using radicals as needed.) Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The real eigenvalue(s) of the matrix is/are (Type an exact answer, using radicals as needed. Use a comma to separate answers as needed. Type each answer only once.) OB....
This Question: 4 pts 3 of 30 (0 complete) Find a basis for the eigenspace corresponding to the elgenvalue. A= 6 -3 -2 8 2.2 = 5 6 9 A basis for the eigenspace corresponding to 2 = 5 is } (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed)
In Exercise, find the eigenvalues of each matrix and determine a basis for each eigenspace -7 5 4 0 -3 -8 9 5
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.)...
Matrix A is factored in the form PDP Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 1 1 1 2 2 1 2 4 2 2 8 5 0 0 A= 1 2 2 = 2 0-2 0 1 0 1 4 1 4 1 2 1 1 3 2 -1 0 0 0 1 1 8 3 1 4 Select the correct choice below and fill in the answer boxes to...
A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A 1 15 19 -2-7 1 15 19 0 5 -1 10 16 2 2 0 5 70-1 -2-5-3 49 0 0 01 6 3 25 29-5-11 0 0 00 0 A- Find a basis for Col A (Use a comma to separate answers as needed. Type an integer or simplified fraction for each matrix element.) Find...
Find an orthogonal basis for the column space of the matrix to the right. -1 5 5 1 -7 4 1 - 1 7 1 -3 -4 An orthogonal basis for the column space of the given matrix is O. (Type a vector or list of vectors. Use a comma to separate vectors as needed.) The given set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for 3 W. 6 -2 An...