This LaTeX document is available as postscript or asAdobe PDF.

ANSC*6370 QG and Animal Models
Fall 03 - Quiz 3

1.

Define what is meant by the symbol $\sigma^{2}_{21}$ in terms of nonadditive genetic variances. Show a picture if that helps.

2.

Let ${\bf A}$ be a rectangular matrix with r rows and c columns, and let ${\bf B}$ be a rectangular matrix with p rows and q columns, then explain the following:

(a)

In order for ${\bf A}$ and ${\bf B}$ to be conformable for addition then, ...

(b)

In order for ${\bf A}$ and ${\bf B}$ to be conformable for multiplication then, ...

(c)

The product ${\bf AA}'$ is symmetric because ...

(d)

If ${\bf A}$ and ${\bf B}$ are both square, then the product ${\bf AB}$ would be equal to the product ${\bf BA}$ under what circumstances?