Evaluate the calculation methodology of finding each term

Question

Question 1. For the questions i to iv. the matrices stated are: (The marks for each question are shown in brackets at the end of each question)

i) Determine B x C (3)
ii. Calculate the determinant of D. (5)
iii. Determine Adjoint of B (7)
iv. Calculate inverse of A (10)

Question 2. Linear relationship is a prescribed mathematical formula to represent relationship between values of .v and y on a graph. Evaluate the calculation methodology of finding each term consists in linear relationship formula by giving an explanatory example of calibration line and linear relationship equation in graphical representation form.

Question 3. Plot a separate graph for each following polynomial equations from the values of x which lie in the range x = -3 to x = S. Determine trendline in the graph with liner relationship formula with values shown up to six decimal points.

i. y= 16³√x + 7x² - 3x³ + x - 9

ii. y = x³ - 3x² + 7x - ³√x + 15

Question 4. Prove the statement of: De Moivre's Theorem