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10-637 Animal Models
Lesson 1 Assignment
L. R. Schaeffer, March 1999

1.
(a)

(b)

(c)

2.
Let and , then calculate the following (if possible):
(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)

3.
Calculate the determinants of the following matrices:
(a)

(b)

(c)

4.
Calculate the inverses of the following matrices:
(a)

(b)

(c)
(d)
Calculate the Cholesky decomposition of the following matrix, and determine the inverse of the triangular matrix and hence the inverse of the original matrix.

(e)
Determine the eigenvalues and eigenvectors of the previous matrix. You may use a computer routine for this question.

5.
Determine the rank and a generalized inverse of the following matrices:
(a)

(b)
Generate another one of the infinite number of possible generalized inverses using the formula given in the notes.

Larry Schaeffer
1999-02-26