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ANSC*6370 QG and Animal Models
Fall 03 - Quiz 4

1.
Given that \( {\bf A} = \left( \begin{array}{rrr}
x & 3 & 1 \\ 2 & 1 & 0 \\ 0 & 4 & 1 \end{array} \right). \)
(a)
What value of x would yield a zero determinant for ${\bf A}$?





(b)
Using the value of x from above, what is the rank of ${\bf A}$?





(c)
Derive a generalized inverse of ${\bf A}$ using the value of x from above.








2.
Show how you would create a matrix with 5 rows and 5 columns that
(a)
Has rank of 0?





(b)
Has rank of 1?





(c)
Has rank of 2?



Larry Schaeffer
2003-10-06