Download presentation

Presentation is loading. Please wait.

1
Matrix Operations

2
Matrix Notation

3
Example

4
Equality of Matrices

5
Square Matrix

6
Diagonal Matrix

7
Triangular Matrices

8
Row and Column Vectors

9
Transposition of Vectors

10
Transposition of Matrices

11
Example

12
Symmetric and Skew-Symmetric Matrices

13
Addition of Matrices

14
Scalar Multiplication

15
Zero Matrix

16
Properties of Additon

17
Properties of Scalar Multiplication

18
Properties of Tranposition

19
Product of Matricies

21
Identity Matrices

22
Identity Property

23
A System of Linear Equations

24
The Matrix Equation Ax=b

25
Properties of Matrix Multiplication

26
Cautions

27
Matrix Powers

28
Theorem

29
Properties of Transposition

30
Definition of Linear Combination

31
Consistency Theorem for Linear Systems A linear system Ax=b is consistent if and only if b can be written as a linear combination of the column vectors of A.

32
Definition

33
Matrix Inverse Identities

Similar presentations

© 2019 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google