EE:211Computational Techniques in

Electrical Engineering Lecture#6

Dr. Mubashir AlamKing Saud University

OutlineSystems of Linear Equations (6.1)Matrix Arithmetic (6.2)

Arithmetic Operations (6.2.1)Elementary Row Operations (6.2.2)The Matrix Inverse (6.2.3)Matrix Algebra Rules (6.2.4)Solvability Theory of Linear Systems (6.2.5)

Matrix: (n x n)Known

Vector: (n x 1)Known

Vector: (n x 1)Unknown

Square Matrix m=n

Elements of matrix

If and only if det(A)≠ 0

Special MatricesDiagonal MatrixUpper Triangular MatrixLower Triangular MatrixSymmetric Matrix

R1-R2R2-R3

R1-R2

R3-2R1

Matrix Algebra RulesCovered on Textbook: Page:256