Q1. For the following questions i to iv, the matrices stated are:
i. Calculate the determinant of A.
ii. Calculate inverse of B.
iii. Calculate ad-joint of A.
iv. Calculate A X B.
Q1. Calculate the Conjugate and Polar form of the following complex numbers and represent them all on a single Argand diagram showing the values of Modulus and Angle.
a = 3 - 2j
b = -7 - 5j
c = -5 + 4j
d = 8 + j
e = -6j
Q2. Determine the area enclosed between the following equations using graphical presentation; where value of x ranges between -3 to 2:
y = x2 + 3
y = 7 - 3x
Q3. Plot a separate graph for the following polynomial equation from the values of x which lie in the range between x = -3 to x = 6. Determine trend line on the graph with liner relationship formula up to six decimal points.
y = x4 - √(3x2) + √(17x2) - √(x4) + 9
Q4. Prove the statement of: De Moivre's Theorem.