Matrix-Matrix Calculations

Algebra lineare per la Data Science in R

Eric Eager

Data Scientist at Pro Football Focus

Matrix-Matrix Multiplication Motivations

Algebra lineare per la Data Science in R

How Matrix Multiplication Works

Algebra lineare per la Data Science in R

How Matrix Multiplication Works

A%*%B
     [,1] [,2]
[1,]    2    5
[2,]    1    4
B%*%A
     [,1] [,2]
[1,]    2    1
[2,]    5    4
A*B
     [,1] [,2]
[1,]    0    2
[2,]    2    2
Algebra lineare per la Data Science in R

The Identity Matrix

Algebra lineare per la Data Science in R

The Identity Matrix

print(A)
     [,1] [,2]
[1,]    1    2
[2,]    2    1
I <- diag(2)
print(I)
     [,1] [,2]
[1,]    1    0
[2,]    0    1
I%*%A
     [,1] [,2]
[1,]    1    2
[2,]    2    1
A%*%I
     [,1] [,2]
[1,]    1    2
[2,]    2    1
Algebra lineare per la Data Science in R

Additional Importance Concepts for Matrices

  1. Square Matrices

  2. The Matrix Inverse

  3. Singular Matrices

  4. Diagonal and Triangular Matrices

Algebra lineare per la Data Science in R

Let's practice!

Algebra lineare per la Data Science in R

Preparing Video For Download...