LINEAR ALGEBRA
Linear equations
There are three types of linear equation with 2 variables.
- Intersects (unique solutions)
- Two lines in the same line (infinite solutions)
- Two parallel lines that never meets (no solutions)
The graphs will show an easy idea about how the equation and its solution can be obtain.
Linear equation as matrics**
The Determinant
We will cross multiply the matric
According to the 4th image,
The determinant = (A x D) - (B x C)
If the determinant is 0, it is singular. That means the matrix does not have an inverse
If the determinant is not 0, it is non-singular. That means matrix has an inverse matrix.
Let's understand it with equations.
2A + 3B =10
4A + 6B =20
The determinant = (2x6) - (3x4)
= 0
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