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Introduction

Get Started with Matrix Algebra

Assignment Operator

Assignment Operations on Matrices Quiz: Matrix Assignment Challenge: Matrix Assignment

Addition of Matrices

Matrix Addition Quiz: Matrix Addition Challenge: Matrix Addition

Scalar Multiplication of Matrices

Scalar Multiplication Quiz: Scalar Multiplication Challenge: Scalar Multiplication

Multiplication of Matrices

Multiplication Operation on Matrices Quiz: Matrix Multiplication Challenge: Matrix Multiplication

Transposition of Matrices

Matrix Transposition Quiz: Matrix Transposition Challenge: Matrix Transposition

Determinant of a Matrix

Determinant of a Matrix

Quiz: Matrix Determinant

Challenge: Matrix Determinant

Inverse of a Matrix

Matrix Inversion Quiz: Matrix Inversion Challenge: Matrix Inversion

System of Linear Equations

System of Linear Equations Solution Quiz: System of Linear Equations Challenge: System of Linear Equations

Project

Biostatistics in Medical Study with R

LU Matrix Factorization

LU Matrix Factorization Quiz: LU Matrix Factorization Challenge: LU Matrix Factorization

Cholesky Factorization

Cholesky Factorization Quiz: Cholesky Factorization Challenge: Cholesky Factorization

QR Matrix Factorization

QR Factorization Quiz: QR Matrix Factorization Challenge: QR Matrix Factorization

Eigendecomposition

Eigendecomposition of a Matrix Quiz: Eigendecomposition Challenge: Eigendecomposition

Wrapping It Up

Computing Matrix Algebra with R and Rcpp

Challenge: Matrix Determinant

Solve this challenge on matrix determinants in R.

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Exercise

Exercise

The determinant of a $(3 \times 3)$ matrix equals the volume of a parallelepiped represented by the matrix. The following illustration shows a parallelepiped where the sides are constructed using the vectors ...