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Computing Matrix Algebra with R and Rcpp

Explore matrix summation, multiplication, LU factorization, and eigendecomposition. Discover applications in machine learning, signal and image processing.

5.0
38 lessons
1 project
19h
Created by Mario De Toma
Computing Matrix Algebra with R and Rcpp
What's included
  • 38 lessons across 14 modules
  • 12 quizzes with instant feedback
  • 1 project in preconfigured environments
  • AI Tutor on every lesson
Who wrote it
Mario De Toma
Mario is an IT project / service manager with in-depth data science experience.

I'm both an IT manager and a data scientist, an R programming tutor and, at the same time, a learner climbing impassable learning curves. I'm passionate about mathematical and computational thinking. My background includes almost 20 years working as project and service manager in IT consulting and service corporations. I hold a master level degree in electrical engineering from Politecnico di Milano University. I'm also PMP certified and I hold a professional certificate in data science. I wrote some adventures in data and quantitative analysis on my blog Stream of Data Consciousnes and I also published a booklet called Computing Matrix Algebra taking advantage of the stay-at-home policy during the COVID outbreak. My latest editorial work is On War, a short essay that proposes a mathematical and computational approach to reasoning about war.

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What You'll Learn

  • An understanding of introductory matrix algebra
  • Working knowledge of coding matrix algebra operations in R
  • Ability to implement simple matrix algebra algorithm in Rcpp
  • Hands on experience of using RcppArmadillo and RcppEigen in R

Learning Roadmap

38 Lessons12 Quizzes4 Challenges

2.

Assignment Operator

Assignment Operator

Get started with matrix assignments in R and Rcpp, plus a hands-on challenge.

3.

Addition of Matrices

Addition of Matrices

3 Lessons

3 Lessons

Break apart the principles of matrix addition and reinforce through quizzes and challenges.

4.

Scalar Multiplication of Matrices

Scalar Multiplication of Matrices

3 Lessons

3 Lessons

Build a foundation in scalar multiplication of matrices with R and Rcpp.

5.

Multiplication of Matrices

Multiplication of Matrices

3 Lessons

3 Lessons

Solve problems in matrix multiplication with R and Rcpp through practical exercises and quizzes.

6.

Transposition of Matrices

Transposition of Matrices

3 Lessons

3 Lessons

Tackle transposing matrices in R and C++, assessing understanding, and checking symmetry.

7.

Determinant of a Matrix

Determinant of a Matrix

3 Lessons

3 Lessons

Practice using tools to calculate, interpret, and analyze matrix determinants efficiently.

8.

Inverse of a Matrix

Inverse of a Matrix

3 Lessons

3 Lessons

Learn how to use R to compute and verify matrix inversions effectively.

9.

System of Linear Equations

System of Linear Equations

3 Lessons

3 Lessons

Solve challenges with linear equations using R and C++, including quizzes and coding tasks.

10.

LU Matrix Factorization

LU Matrix Factorization

3 Lessons

3 Lessons

Go hands-on with LU matrix factorization to decompose matrices and efficiently solve linear systems.

11.

Cholesky Factorization

Cholesky Factorization

3 Lessons

3 Lessons

Break down complex ideas of Cholesky factorization, tests, and practical challenges in R.

12.

QR Matrix Factorization

QR Matrix Factorization

3 Lessons

3 Lessons

Solve problems in QR factorization, validate with quizzes, and implement coding challenges.

13.

Eigendecomposition

Eigendecomposition

3 Lessons

3 Lessons

See how it works to decompose matrices into eigenvalues and eigenvectors using R and Rcpp.
Certificate of Completion
Showcase your accomplishment by sharing your certificate of completion.
Fahim Ul HaqComputing Matrix Algebra withR and RcppFounder & CEO
About this course
WHY I WROTE THIS COURSE
Matrix algebra is the foundation for machine learning, signal processing, image processing, and many other popular algorithms. It is very important that aspiring computer scientists get a solid understanding of the subject, and there’s no better way to achieve this than coding matrix algebra operations. The course aims to teach you how to code matrix algebra operations in R, and with main C++ matrix algebra libraries: RcppArmadillo and RcppEigen. Moreover, to clarify the matrix algebra operations, a simple algorithm is provided to understand the computing implications. The provided matrix algebra operations range from matrix summation and matrix multiplication to LU factorization and eigendecomposition. The main course outcome is to develop hands-on experience via curated programs to perform the matrix algebra computation in the R and Rcpp ecosystem, also including the ability to develop algorithms for areas such as machine learning, image processing and signal processing.
ABOUT THE AUTHOR

Mario De Toma

Mario is an IT project / service manager with in-depth data science experience.

Learn more about Mario

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