(b) Find the transition matrix T and then express it in the form QDQ-¹, where D is a diagonal matrix. (c) Suppose that the total number of firms in the industry remains fixed at 4000. By considering what happens to D" as n→ ∞, determine how many firms fall into each category in the long term.

Q: Consider the following. B = {(-20, -2, -4), (12, 1, 2), (-24, -2, -3)}, B' = {(7, -2, -2), (-3, 1,…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: FIND THE FUNDAMENTAL MATRIX AS WELL AS THE FUND AMENTAR MATRIX ø (6)= I %3D SATISEYING x' = 2 -5 -2

A: Fundamental matrix is formed with linearly independent solution sets of the system. These linearly…

Q: Consider the following. B = {(5, -2), (-2, 1)}, B' = {(-12, 0), (-4, 4)}, [x]g = (a) Find the…

A: Given: B=5-2,-21 and B'=-120,-44 , XB'=-13

Q: nsider the following. B = {(-20, 3, 9), (-8, 1, 3), (16, -2, -5)}, B' = {(-1, 1, -3), (-2, 1,-3),…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 21.1f A' = 34² where A is n by n matrix, then (a) A= 31 (b) A 31 if rank((A) =n () A" =!1 (d) a and…

A:

Q: Given the matrix below and its corresponding rref(A) and rref(AT) 1000 -2 -| -3 10000 0100 - 12 0 10…

A: Let us find the basis for the null space of A in the next steps.

Q: Consider the following. B = {(0, 1), (-1, 1)}, B' = {(-12, 0), (-4, 4)}, [x]g = %3D (a) Find the…

A:

Q: the low-risk category the next year.(1) Find the transition matrix, P. (2) If 90% of the drivers in…

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Q: Compute the matrix exponential eAt for the following system x' = Ax. - x'₁ = 8x₁ − 3x₂, x'2 = 2x₁ +…

A: Given that the system of equations are:                                   To compute the matrix…

Q: Find the transition matrix from B to B′.B = {(1, 1), (1, 0)}, B′ = {(1, 0), (0, 1)}

A: Given a matrix,

Q: B = {(7, 8, 4), (3, 4, 2), (6, 8, 5)}, B' = {(10, 3, 6), (3, 1, 2), (3, 1, 3)}, [x]B' =  1     2…

A:

Q: Let 8 = {(1, 3), (-2,-2)} and 8' = {(-12, 0), (-4, 4)) be bases for R², and let A = - [83] be the…

A:

Q: Let B=[0000]. Find a non-zero 2×2 matrix A such that A^2=B. A= ? Hint: Let �=[����] and then set…

A: The given matrix is; B=[0 0      0 0 ]A2=BFind the matrix A.

Q: 00 00 00 00 D00:000- 00 00 00 Consider the following. B = {(5, 2, 8), (2, 1, 4), (-4, -2, -6)}, B' =…

A: The answer is given as follows :

Q: Find the transition matrix from B to B′.B = {(2, 4), (−1, 3)}, B′ = {(1, 0), (0, 1)}

A:

Q: Find the transition matrix from B to B'. B = {(1,0) , (0, 1)}, B' = {(1, 1), (5, 6)} 6 -5 5 o [1 5 6…

A:

Q: 3) Find a sequence of elementary matrices whose product is A and a sequence whose product is A'. - 3…

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Q: Compute the matrix exponential eAt for the system x' = Ax given below. x₁ = 10x₁ + 2x₂, X²2 = 2x₁ +…

A:

Q: T [2 1 -1 A + 1 = |0 5 2 4 3 8 [8 07 (b) 34" ЗАТ + 2

A:

Q: The matrix that projects onto the line y 1 is

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Q: Consider the following. B = {(3, -2), (-1, 1)}, B' = {(-12, 0), (-4, 4)}, [x]g: = (a) Find the…

A: Given: B={(3,-2),(-1,1)} and B'={(-12,0),(-4,4)}   [x]B'=-13.