Consider the following A9 -24 (a) Verify that A is diagonalizable by computing P AP (b) Use the result of part (a) and the theorem below to find the eigenvalues of A Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. Need Help?ReadIt Talk to a Tutor + -/1 points LarLinAlg8 7.2.005 Consider the following 0 13 A-10-201, P-1040 1 2 2 2-1 0 -4 2-4 (a)...
2. (-12 points) DETAILS LARLINALG8 7.2.005. Consider the following. Toi-3 A = 5 - 1 0 0 1 0 -6 4 - 4 P= 04 1 2 0 2 (a) Verify that A is diagonalizable by computing p-1AP. p-1AP = It (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues....
step by step please Consider the following 2 -1 A = 0-2 -2 0 0 0, P- -1 0 1 -3 04 0 1 2 (a) Verify that A is diagonalizable by computing p-1AP. p-1AP = 11 (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (11, 12, 13) =(
2. [-12 Points) DETAILS LARLINALG8 7.2.005. Consider the following. -4 20 0 1 -3 A = 040 P= 04 0 4 0 2 1 2 2 (a) Verify that A is diagonalizable by computing p-AP. p-1AP = 11 (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices, then they have the same eigenvalues. (91, 12, 13)...
Consider the following. 1 -1 0 1 A= 1 -1 0-1 0.80 -0.10 0.15 0.15 -0.10 0.80 0.15 0.15 0.15 0.15 0.80 -0.10 0.15 0.15 -0.10 0.80 P= 1 1 1 0 1 1 - 1 0 (a) Verify that A is diagonalizable by computing p-1AP. p-1AP = JINO (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x...
Consider the following. 0.75 0.05 0.10 0.10 0.05 0.75 0.10 0.10 A= 0.10 0.10 0.75 0.05 0.10 0.10 0.05 0.75 P= [1 -1 0 1 1-1 0-1 1 1 1 0 1 -1 0 1 (a) Verify that A is diagonalizable by computing p-1AP. p-1AP = JUNI (b) Use the result of part (a) and the theorem below to find the eigenvalues of A. Similar Matrices Have the Same Eigenvalues If A and B are similar n x n matrices,...
please solve both 3. [-12 Points] DETAILS LARLINALG8 7.2.007. For the matrix A, find (if possible) a nonsingular matrix P such that p-1AP is diagonal. (If not possible, enter IMPOSSIBLE.) 8 -2 A= P= Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP = 1. [0/2 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.2.001. Consider the following. -11 40 A= -27 (a) Verify that A is diagonalizable by computing p-1AP. -1 0 p-1AP = 10 3...
2d and 4b [2 リ 5 0 -6 200 x(0)=10 x' e2 0 0 |-6-1 3 0 42 0-1-2 x, 43,1 0 0 (d) x' = ' x' (c) x'=12-1-2|x; 2. The matrices in the following systems have complex eigenvalues; use Theorem 2 to find the general (real-valued) solution; if initial conditions are given, find the particular solution satisfying them. 1-x, x(0)-1 (b) x, = (a) x' = X; 0 20 x(0)-|2 이 x, (d) x'=1-20 (c) x' =10-1-6|x; L0...
2) Given 1 3 4 01 A2 4 -5 4 -3 1 -5 0 3 2 By result of Q1, (a) Verify that both Row(A) and Row(A) are subspaces of R5 (b) Verify that Col(A) is a subspace of , 4. Find the Row(A), Col(A) and Null(A) 1) Find the Row(A), Col(A) and Null(A) 1 3 -4 0 1 A 2 4 5 34 1 -5 0 -3 2 -3 1 8 3 -4 2) Given 1 3-4 0 1...
can I have the answer for (a)? thank u!! 14. For it is given that 1-2 is an invertible matrix such that 1 0 01 AQ A-2 0 0 0 1 0] Let A ((1. 2,0), (0,0, D), (0,0, 0)). Find a basis B of R3 such that the m transition from B to A is matrix of 10 01 D2-0 1 0 and an invertible P such that PAQ D2. (Hint: See the proof of Theorem 3.46.) 15. For...