**Cramer’s rule PDF**

consider the following system of equation.

**a.x + b y = m………………..1**

**c x +d y =n…………………….2**

We know that

**AX = B**

**Where**

**Ax =B can be written as**

**also, this form can be written as**

Also, can be written as in the form

this complete the proof of crammer’s rule

Cramer’s rule PDF:

**Example:**

we solve the following system by using matrix inversion method

**4x-2y=8**

**3x+y=-4**

**SOLUTION:**

**STEP: 1**

**STEP: 2**

the coefficient of matrix

**det M= 4×1-3(-2)= 4+6=10 ≠ 0**

SO

is possible

**STEP : 3**

hence

there is

x=0 and y = -4

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