(1 point) Find the three distinct real eigenvalues of the upper-triangular matrix B= 5-7 0 0...
(1 point) The matrix 2 -1 0 A2-3 -1 has three distinct real eigenvalues if and only if
(1 point) The matrix 2 -1 0 A2-3 -1 has three distinct real eigenvalues if and only if
(1 point) The matrix -1 -1 01 A = -16 0 Lk 0 has three distinct real eigenvalues if and only if -17.036 <k< 29.184
The 2 x 2 matrix 1 = ( 43 II has two distinct real eigenvalues. 1. Give the characteristic polynomial for A in Maple notation in the form t^2 + a*t + b Characteristic polynomial = 2. Find the set of eigenvalues for A, enclosed in braces , ) with the two eigenvalues separated by a comma, like (-4, 7) Set of eigenvalues for A = 5 3. Find one eigenvector for each eigenvalue, using Maple > for vectors, e.g....
(7 marks) Let the distinct eigenvalues of a square matrix A be denoted by 11, ..., lk. Suppose the corresponding algebraic multiplicities are mi, ..., Mk and that A is similar to an upper-triangular matrix. Show that k k tr(A) midi and det(A) = II (4;)mi i=1 i=1
Find the characteristic polynomial and the real eigenvalues of the matrix. | -5 -1 The characteristic polynomial is (Type an expression using , as the variable.) The real eigenvalues of the matrix are 7. (Use a comma to separate answers as needed.)
(12) (7 marks) Let the distinct eigenvalues of a square matrix A be denoted by 11, ..., dk. Suppose the corresponding algebraic multiplicities are m1, ..., mk and that A is similar to an upper-triangular matrix. Show that k tr(A) = midi and det(A) = II (1;)" i=1 i=1
[-5 0 5 5 0 -5 0 0 0 0 -5 0 0 0-5 0 (1 point) 2 The matrix A- has two distinct eigenvalues λ1 < λ2. Find the eigenvalues and a basis for each eigenspace. whose eigenspace has a basis of , whose eigenspace has a basis of | [1,0,0,1] Note: You can earn partial credit on this problem Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 9 times. You received a...
T0 0 0 ] (1 point) The matrix A = -5 5 10 has two real eigenvalues, one of multiplicity 1 and one of multiplicity 2. Find the eigenvalues and a basis of [ 5 -5 -10] each eigenspace. 11 = has multiplicity 1, with a basis of 22 = !! has multiplicity 2, with a basis of 010 To enter a basis into WebWork, place the entries of each vector inside of brackets, and enter a list of these...
(1 point) The matrix A = 1-6 1 8 k] 4 has two distinct real eigenvalues if and only if k > 24.5
(1 point) Find the characteristic polynomial of the matrix 5 -5 A = 0 [ 5 -5 -2 5 0] 4. 0] p(x) = (1 point) Find the eigenvalues of the matrix [ 23 C = -9 1-9 -18 14 9 72 7 -36 : -31] The eigenvalues are (Enter your answers as a comma separated list. The list you enter should have repeated items if there are eigenvalues with multiplicity greater than one.) (1 point) Given that vi =...