It’s extending the unit vector idea.
unit vector
Vectors multiplication
Vector multiplication is FUNDAMENTAL skill to solve Matrices multiplication.
Matrices multiplication
Matrix multiplication
IT IS A WHOLE NEW AREA ASIDE FROM MATRICES BASIC OPERATIONS.
Vector & basic operations
Definition: vector is a MAGNITUDE with a DIRECTION
Refer to Khan academy article.
In Gilbert Strang’s _Intro to Linear Algebra_, it’s different point of view:
For row form or column form:
Row form
Column form
Matrices intro
Matrices are just a rectangle array of numbers.Prerequisites: Systems of equations
Matrices
Systems of equations
Cross product
Actually the cross product is very very very limited in use, and as fairly often as the dot product.
cross product
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…