Step 1:

The system of equations are

Rewrite the equations are

Convert the equations into matrices form ,

where is coefficient matrix, is variable matrix and is constant matrix.

Solve the equations by using Cramers Rule.

Since Cramers Rule is applicable.

Step 2:

Solution:

1.3

The equation is

Solve for x value.

Apply ln on each side.

The value of

1.4

The equation is

Apply ln on each side.

1.5

The rectangle length is three times equal to the breadth.

Then The equation is

The area of the rectangle is

Area of the rectangle is

Find the length and breadth of the rectangle.

The rectangle length and breadth are

2.1

The function is

Graph:

2.2

Observe the graph;

The graph is continuous.

2.3

The range of the function is

1.5

The matrix is

Find the coefficent matrix.

1.5.1

Find determinant of co efficents.

Determinant of co efficents is

1.5.2

Cofactor of

1.5.3

The minor of