Project - Woozle Study, Project - Woozle Study. If your

Project - Woozle Study

Reference no: EM132412029

Project - Woozle Study

Let W be the 5 x 5 matrix from the data attached, where each entry is a probability between 0 and 1 rather than a percentage:

PROBLEM 1. Observe that Wn^→ = n^→ where n^→ =. Explain why this makes sense.

PROBLEM 2. Observe that W^Tp^→≈p^→ where p^→ =. Explain why this makes sense.

PROBLEM 3. Let I denote the 5 x 5 identity matrix.

(a) Find all solutions x^→ to the equation Wx^→ = x^→. What is the rank of the matrix W - I?

(b) Find all solutions x^→ to the equation W^Tx^→ = x^→. What is the rank of the matrix W^T - I?

PROBLEM 4. Think of a process that Christopher might have used to calculate the percentage of time that woozle spend doing each activity. If your answer involves solving a certain system of linear equations, explain how Christopher could anticipate that the system is consistent.

Attachment:- Assignment Files.rar

Reference no: EM132412029

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