Linear Algebra

Matrix multiplication

IT IS A WHOLE NEW AREA ASIDE FROM MATRICES BASIC OPERATIONS.

Cross product

Actually the cross product is very very very limited in use, and as fairly often as the dot product.

So don’t waste time on this unless having certain use of it.

REMEMBER: A CROSS PRODUCT ONLY HAS USE IN 3-DIMENSIONS, AND ORDER MATTERS, AND GIVES YOU A…

Vectors multiplication

Vector multiplication is FUNDAMENTAL skill to solve Matrices multiplication.

Vector span

It’s extending the unit vector idea.

Vector & basic operations

What is a vector

Definition: vector is a MAGNITUDE with a DIRECTION

Matrix Transformation

It’s a subset of Linear transformation, just with higher dimension rules & multiple points graph multiplying together.

YOU BREAK THE RULE IN TO DIFFERENT UNIT VECTORS i, j, k... AND BREAK THE GRAPH INTO DIFFERENT POINTS, AND APPLY EACH i, j, k RULES TO EACH POINT.

Composition of Matrix Multiplication

Composition of Matrix Multiplication means More than one linear transformations applies to a graph one by one.

**Although you can see two matrices multiplying together as a transform applying to a graph.
But actually sometime you can see it…

Determinant of Transformation

It’s quite easy to calculate, and not too hard to understand what’s behind it.

The Determinant of a transformation is How much the AREA of the new Graph scaled.