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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
19h
Join 2.9 million developers at
Join 2.9 million developers at
LEARNING OBJECTIVES
- 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
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.
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Developed by MAANG Engineers
ABOUT 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.
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