Now if we plot the matrices on the coordinate system then we will get a parallelogram and if we calculate the area of the parallelogram then we will get the determinant of the given matrix. For eg if A is the matrix then its determinant will be:
i.e. |A|= ad−cb.
Now the questions I want to ask:
1)What is a determinant actually what does it tells us about a system of equations?
2)The area found by the formula ad−cb, how is it telling us a determinant? Basically how the area of parallelogram telling the value of determinant?
3)In my book its given that: system of equations has a unique solution or not is determined by the number of ab-cd.What does this mean?