Linear Algebra - Determinants:

Proof det(AB)=0 where Amxn and Bnxm with m>n

A and B are matrices, and mxn are the natural number of lines and columns.

Describe the end behavior of the function below. f(x)=(2/3)^x-2 a. as x increases, f(x) approaches infinity. b. as x decreases, f(x) approaches 2. c. as x increases, f(x) approaches -2. d. as x decreases, f(x) approaches negative infinity.