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Linear algebra essentials
Matrix multiplication

Matrix multiplication

IT IS A WHOLE NEW AREA ASIDE FROM MATRICES BASIC OPERATIONS.
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Solomon Xie
Vectors multiplication

Vectors multiplication

Vector multiplication is FUNDAMENTAL skill to solve Matrices multiplication.
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Solomon Xie
Matrix Transformation

Matrix Transformation

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

Matrices Elimination

Matrices elimination (or solving system of linear equations) is the very first and fundamental skill throughout Linear Algebra. It's…
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Solomon Xie
Composition of Matrix Multiplication

Composition of Matrix Multiplication

Composition of Matrix Multiplication means More than one linear transformations applies to a graph one by one.
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Solomon Xie
Vector & basic operations

Vector & basic operations

What is a vector
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Solomon Xie
Matrices intro

Matrices intro

Matrices are just a rectangle array of numbers. Prerequisites: Systems of equations
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Solomon Xie
Vector

Cross product

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

Vector span

It’s extending the unit vector idea.
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Vector forms

Refer to Khan academy article.
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Rank of Transformation

Rank of Transformation

Means the Dimension of output of a transformation.
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Scalar Projection & Vector Projection

Scalar Projection & Vector Projection

Refer to the note in Pre Linear algebra about understanding Dot product.
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Change of basis

Change of basis

Changing basis of a vector, the vector’s length & direction remain the same, but the numbers represent the vector will change, since the…
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Solomon Xie
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