math 1 assignment

I’m working on a Mathematics question and need guidance to help me study.

Question 1: [6 Marks]

Let

,

, and

. Express the indicated logarithm in terms of

and

:

i)

[2 Marks]

ii)

[2 Marks]

iii)

[2 Marks]

Question 2: [8 Marks]

a)If

is invested at a nominal rate of

compounded continuously, find the compound amount after

years.[3 Marks]

b)How many years will it take for a principal of

to double at the interest rate of

compounded monthly? [5 Marks]

Question 3: [10 Marks]

a)Construct the matrix

if

is a

and

[4 Marks]

b)Solve the matrix equation:

[6 Marks]

Question 4: [12 Marks]

Given the matrices:

Find:

a)

[3 Marks]

b)

[4 Marks]

c)

[5 Marks]

Question 5: [9 Marks]

a)Solve the following system by using the inverse:

[5 Marks]

b)Solve the following system by the method of reduction:

[4 Marks]

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