Week 4 Eigenvectors And Eigenvalue

Question 1

What is an Eugene vector?

Answer 1

A vector whose direction does not change upon transformation

Question 2

What is eigenvalue. Can it be negative or zero.?

Answer 2

Amount of stretch of the engine vector. It can be positive and can be zero

Question 3

How do you find an eigenvalue

Answer 3

Det(A-lambda*I) = 0
Determinant ( matrix - lambda x identity matrix) = 0

Then you solve for lambda

Question 4

What is the formula for diagonalisation

Answer 4

A = VDV^-1
V = matrix whose columns are linearly independent eigenvectors of a
D = diagonal matrix whose entries are corresponding eigenvalues

Question 5

What to do if you get a repeated eigenvalue which has an corresponding Eigen plane instead of a vector.

Answer 5

You just convert the Eigen plane into I Eigen vector.
You take the vector next to S and T
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