(1 point) A matrix A is said to be similar to a matrix B if there...
2.4 For the general two-state chain with transition matrix b а 1 а Р- р 1 - q and initial distribution a = (a1, a2), find the following (a) the two-step transition matrix (b) the distribution of Xi 1
Matrices A and B are called similar if there exists an invertible Matrix P such that: A= PBP^-1 Show that det(A) = det(B)
We say that A and B are similar matrices if A = SBS-1 for some invertible matrix S. Are the following true or false. Given a mathematical reason (proof). (a) If A and B are similar, then A and B have the same eigenvalues. Answer: (b) If A and B are similar, then A and B have the same eigenvectors. Answer: c) If A and B are similar, then A - 51 and B – 51 are similar. Answer: (d)...
Let А and B be similar nxn matrices. That is, we can write A = CBC- for some invertible matrix с Then the matrices A and B have the same eigenvalues for the following reason(s). A. Both А and A. Both А and B have the same characteristic polynomial. B. Since A = CBC-1 , this implies A = CC-B = IB = B and the matrices are equal. C. Suppose that 2 is an eigenvalue for the matrix B...
could u help me for this one??
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 each matrix...
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...
point) Show that A57-133 24 56 and B 2 2 are similar matrices by finding an invertible matrix P satisfying A P-IBP. 30 72 3/30 72/3
point) Show that A57-133 24 56 and B 2 2 are similar matrices by finding an invertible matrix P satisfying A P-IBP. 30 72 3/30 72/3
Are the two matrices similar? If so, find a matrix P such that B = p-1AP. (If not possible, enter IMPOSSIBLE.) 200 100 B = A= 0 3 0 03 0 0 0 1 0 0 2 0 0 ра 0 11 X
Two n x n matrices A and B are called similar if there is an invertible matrix P such that B = P-AP. Show that two similar matrices enjoy the following properties. (a) They have the same determinant. (b) They have the same eigenvalues: specifically, show that if v is an eigenvector of A with eigenvalue 1, then P-lv is an eigenvector of B with eigenvalue l. (c) For any polynomial p(x), P(A) = 0 is equivalent to p(B) =...
for (a) plz 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 each matrix A below,...