beautypg.com

5 matrix and vector calculations, Matrix and vector calculations – Casio ClassPad II fx-CP400 User Manual

Page 56

background image

Chapter 2: Main Application

  56

2-5

Matrix and Vector Calculations

This section explains how to create matrices, and how to perform basic matrix calculations.

Tip:

Since a vector can be viewed as 1-row by

n

-column matrix or

n

-row by 1-column matrix, this section does not include

explanations specifically about vectors. For more information about vector-specific calculations, see the explanations
about the applicable [Action] menu items in “2-7 Using the Action Menu”.

Inputting Matrix Data

You can input matrix values in a single line in the work area, or input matrix values using an actual on-screen
matrix.

Inputting Matrix Values in a Single Line

0219

To input the matrix

1

2

3

4

and assign it to the variable “mat1” in the Main application work area

Matrix Variable Element Operations

You can recall the value of any element of a matrix variable. You can also assign a value to any element in a
matrix.

0220

To recall the value in row 2, column 1 of the matrix variable “mat1” of example

0219

0221

To assign 5 to the element at row 1, column 2 of “mat1”

Inputting Matrix Values Using an Actual On-Screen Matrix

• Create a new 1-row × 2-column matrix ......................................................................................................

6

• Create a new 2-row × 1-column matrix ......................................................................................................

7

• Create a new 2-row × 2-column matrix .....................................................................................................

8

• Add a column to the currently displayed matrix .........................................................................................

6

• Add a row to the currently displayed matrix ...............................................................................................

7

• Add both a row and column to the currently displayed matrix ...................................................................

8

0222

To input the matrix

1

2 3

4 5 6

and assign it to the variable “mat2”

Performing Matrix Calculations

This section provides examples of how to perform the most basic types of matrix calculations.

Matrix Addition, Subtraction, Multiplication, and Division

0223

To

calculate

1

1

2

1

+

2

3

2

1

in a single line

0224

To

calculate

1

1

2

1

×

2

3

2

1

using an actual on-screen matrix

0225

To multiply the matrix

1

2

3

4

by 5