Let a be the 4 x 4 matrix (20.3) considered in this lecture and the previous one. (a) determine det a from (20.5). (b) determine det a from (21.3). (c) describe how gaussian elimination with partial pivoting can be used to find the determinant of a general square matrix.

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x)

Using elimination, what is -4x+2y=-12 4x+8y=-24