Solve the system of linear equations by using determinant

Question

Question 1. System of Linear Equations.

Solve the following system of linear equations by using Determinant Method:

Question 2. Matrix Algebra

Compute each of the following matrices:

a) A+B

b) C-D

c) CD

d) (CD)^T

e) Verify that (CD)^T  = D^TC^T

f) Verify that (A+B)^T  = A^T+B^T

Question 3. Graphing Strategy

f(x) = -x³ + 27x

a) Find the domain of the function.

b) Find x and y intercepts.

c) Find the stationary points for  and determine the intervals where  is increasing and decreasing.

d) Determine the minimum and maximum value of the function.

e) Sketch the graph.