2MA101-Linear Algebra
Matrix Theory
11/4/2020
,Topics of Unit 1 – Matrix Theory
1 Review of algebra of matrices
2 Rank of matrix
3 Echelon and row reduced echelon form
4 Rank using echelon forms
5 Rank using normal form
6 Inverse by Gauss-Jordan method
7 Solution of system of algebraic simultaneous equations by
Gauss-elimination & Gauss-Jordan method
11/4/2020
, Review of Matrix Algebra
11/4/2020 Dr. Sandeep Malhotra 3
, Definition of Matrix
• A matrix is a one-or more dimensional array
• A quantity is usually designated as a matrix by bold face typ
• The elements of a matrix are shown in square brackets [ ]:
Row 1 = R1
Row 2 = R2
Row 3 = R3
Order of a matrix is m
Column 3 = C3
Column 1 = C1
Column 2 = C2
and n columns = m x n
Therefore, given matri
of order 3 x 3.
Matrix Theory
11/4/2020
,Topics of Unit 1 – Matrix Theory
1 Review of algebra of matrices
2 Rank of matrix
3 Echelon and row reduced echelon form
4 Rank using echelon forms
5 Rank using normal form
6 Inverse by Gauss-Jordan method
7 Solution of system of algebraic simultaneous equations by
Gauss-elimination & Gauss-Jordan method
11/4/2020
, Review of Matrix Algebra
11/4/2020 Dr. Sandeep Malhotra 3
, Definition of Matrix
• A matrix is a one-or more dimensional array
• A quantity is usually designated as a matrix by bold face typ
• The elements of a matrix are shown in square brackets [ ]:
Row 1 = R1
Row 2 = R2
Row 3 = R3
Order of a matrix is m
Column 3 = C3
Column 1 = C1
Column 2 = C2
and n columns = m x n
Therefore, given matri
of order 3 x 3.
