Question: For the matrix S given by S = [ 3 0 0 3 ] , a) Determine the half lengths of the axes of the

For the matrix S given by

S = [ 3 0

0 3 ] ,

a) Determine the half lengths of the axes of the ellipse.

b) Find and sketch the ellipsoid (x x) S 1 (x x) 1.

c) At what point in two-dimensional space is the ellipse centred?

d) In which direction does the major axis lie?

e) In which direction does the minor axis lie?

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