Consider an n m matrix
a = qr,
where q is an n m matrix with orthonormalcolumns and
r is an uppertriangular
m m matrix with positive diagonalentries
.express
det(ata) in terms of the
scalarsrii. what can you say about the sign
ofdet(ata)?

What is the solution to the system of equations? (–2, –8) (–1, –5) (0, –2) (2, 4)

You have a 32-foot fence around a square garden. there are 4 equal sections. you paint 13 of one section of the fence. what fraction of the fence did you paint? you have a 32-foot fence around a square garden. there are 4 equal sections. you paint 13 of one section of the fence. what fraction of the fence did you paint?

Arestaurant offers a $12 dinner special that has 5 choices for an appetizer, 12 choices for an entrée, and 4 choices for a dessert. how many different meals are available when you select an appetizer, an entrée, and a dessert? a meal can be chosen in nothing ways. (type a whole number.)