Please enable JavaScript.
Coggle requires JavaScript to display documents.
Linear Algebra Introduction (Required knowledge for the following…
Linear Algebra Introduction
Generally poorly understood by most learners
Why are matrix multiplication done the way it is?
Why cross product got anything to do with the determinant?
What does an "eigen" value really represent
Required knowledge for the following disciplines
Computer Science
Physics
Electrical Engineering
Mechanical Engineering
Statistics
We need to see the BOTH pictures
Numeric Operations
Geometric intuition
BUT There is a fundamental difference
in understanding it on a Numeric level and
in understanding it on a Geometric level
The Geometric understanding lets you
:smiley: Judge what TOOLS to use to solve specific problems
:smiley: Feel why they work
:smiley: And know how to interpret the results
The Numeric understanding lets you
:smiley: Carry through the application of those tools (Actual computations)
:smiley:: Do Actual Computations
Level of Understanding
Geometric understanding
Computations
Uses
In that order
In Short, will be dealt with in later diagrams
"Matrices transforms space"
"Matrix multiplication corresponds to applying one transformation after another"
"The determinant gives the factor by which areas change"
