Using the matrices below [1 0 07 B' = 0 1 0 0 0 1 1 3 3 B = 1 4 3 1 3 4 7 -3 -3 B- -1 1 1 1. Find the transition matrix from B to B', P-. If you use any theorems or shortcuts make sure to both state and reference them clearly.

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A: Solution

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Q: (a) find the transition matrix from B to B′, (b) find the transition matrix from B′ to B, (c) verify…

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Q: 0.2 0.8 For the transition matrix P = solve the equation SP = S to find the stationary matrix S and…

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Q: Find the transition matrix from the basis B = {(1,2,3) (1,0,1)(1,2,1)} to B' = {(1,1,0)(0,1,1)…

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Q: Find the stable vector of this Matrix:  0 0 1 0 1/2 1/2 1/3 2/3 0

A: A stable vector is a probability vector such that PW=W.Let W=xyz. Then, we have 0010121213230xyz=xyz…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.