Presentation is loading. Please wait.

Presentation is loading. Please wait.

Summer 2011. * Note – when I teach this to my students, we use post its to cover the row/column we aren’t using!

Published byOswin Hill Modified over 8 years ago

Similar presentations

Presentation on theme: "Summer 2011. * Note – when I teach this to my students, we use post its to cover the row/column we aren’t using!"— Presentation transcript:

1 Summer 2011

2

3

4

5

6

7

8

9

10

11

12 * Note – when I teach this to my students, we use post its to cover the row/column we aren’t using!

13

14 Used to solve systems of equations!!

15

16

17

18 Selected Matrix Rules: A + B = B + ACommutative law of addition (A+B)+C = A+(B+C)Associative law of addition (AB)C = A(BC)Associative law of multiplication A(B+C) = AB+ACLeft distributive law (A+B)C = AC + BCRight distributive law (A T ) T = ADouble transpose rule (AB) T = B T A T Reverse product transpose rule k(AB) = (kA)B = A(kB)A mixed scalar and matrix multiplication rule

Download ppt "Summer 2011. * Note – when I teach this to my students, we use post its to cover the row/column we aren’t using!"

Similar presentations

Solving Equations. -132 = 4x – 5(6x – 10) -132 = 4x – 30x + 50 -132 = -26x + 50 -182 = -26x 7 = x.

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
Mathematics. Matrices and Determinants-1 Session.

Mathematics. Matrices and Determinants-1 Session.
ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 12 System of Linear Equations.

ECIV 301 Programming & Graphics Numerical Methods for Engineers Lecture 12 System of Linear Equations.
12.2 Multiplication of Matrices. Matrix Multiplication The product of two matrices, A m×p and B p×n, is the matrix AB with dimensions m × n. Any element.

12.2 Multiplication of Matrices. Matrix Multiplication The product of two matrices, A m×p and B p×n, is the matrix AB with dimensions m × n. Any element.
MAT 2401 Linear Algebra 2.2 Properties of Matrix Operations

MAT 2401 Linear Algebra 2.2 Properties of Matrix Operations
Properties of Matrix Operations King Saud University.

Properties of Matrix Operations King Saud University.
1 Chapter 3 Matrix Algebra with MATLAB Basic matrix definitions and operations were covered in Chapter 2. We will now consider how these operations are.

1 Chapter 3 Matrix Algebra with MATLAB Basic matrix definitions and operations were covered in Chapter 2. We will now consider how these operations are.
Math (thinking + fun) = Math thinking + Math fun!.

Math (thinking + fun) = Math thinking + Math fun!.
Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4.

Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4.
Matrix Equations Step 1: Write the system as a matrix equation. A three-equation system is shown below.

Matrix Equations Step 1: Write the system as a matrix equation. A three-equation system is shown below.
4.2 Operations with Matrices Scalar multiplication.

4.2 Operations with Matrices Scalar multiplication.
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 7.1 Solving Systems of Two Equations.

Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley 7.1 Solving Systems of Two Equations.
ECON 1150 Matrix Operations Special Matrices

ECON 1150 Matrix Operations Special Matrices
Properties of Real Numbers Students will be able to recognize properties of real numbers and use them to solve problems.

Properties of Real Numbers Students will be able to recognize properties of real numbers and use them to solve problems.
Copyright © 2011 Pearson, Inc. 7.2 Matrix Algebra.

Copyright © 2011 Pearson, Inc. 7.2 Matrix Algebra.
Pre-Algebra Unit 1 Review. Unit 1 Review 1)Name the property demonstrated. a) a + b = b + a b) a(b + c) = ab + ac.

Pre-Algebra Unit 1 Review. Unit 1 Review 1)Name the property demonstrated. a) a + b = b + a b) a(b + c) = ab + ac.
Fundamentals of Engineering Analysis

Fundamentals of Engineering Analysis
Section 1.4 Inverses; Rules of Matrix Arithmetic.

Section 1.4 Inverses; Rules of Matrix Arithmetic.
For real numbers a and b,we always have ab = ba, which is called the commutative law for multiplication. For matrices, however, AB and BA need not be equal.

For real numbers a and b,we always have ab = ba, which is called the commutative law for multiplication. For matrices, however, AB and BA need not be equal.
Pre-Algebra Chapter 2 Review. Chapter 2 Review 1)Name the property demonstrated. a) a + b = b + a b) a(b + c) = ab + ac.

Pre-Algebra Chapter 2 Review. Chapter 2 Review 1)Name the property demonstrated. a) a + b = b + a b) a(b + c) = ab + ac.

Similar presentations

Ads by Google