Quantitative Methods
Lecture 3
Matrix calculus
•BAKVM

Matrix calculus
•Vector space of matrices
(addition and scalar multiplication)
•Rank of a matrix
•Multiplication of matrices
•Square matrices
•Singular and non-singular matrices

Matrix



The vector space of matrices



Addition of matrices



Subtraction of matrices



Multiplication of a matrix by a scalar



The zero matrix



The vector space of matrices



The rank of a matrix



Multiplication of matrices



Multiplication of matrices



Square matrices



The identity matrix



Non-singular square matrices



The inverse matrix



Singular and non-singular matrices



Summary I



Summary II