• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4
5. 5
5
6. 6
6

# Investigating Matrices

Extracts from this document...

Introduction

April 13, 2008

Investigating Matrices

1.) Calculate Mn : n = 2, 3, 4, 5, 10, 20, 50

• Pattern I found was that  as n increases x is doubled the previous value while the matrix remains as .
• Example:
• Another pattern with the matrices was that  and as n increases a is doubled  as zero “0” remains unchanged.

Example:

2.) Consider the matrices :

a.)

• where and => observation 1

*Note:

Middle

Where  and => observation 2

*Note: They too are multiplied by 4 and 2 the matrix of S1 *

• For Pn I have observed the pattern “observation 1” and  in where x is doubled the previous value the pattern of x= 2, 4, 8, 16, 32… and “a” would always be twice bigger/higher and “b”.  where b=a-2.
• For S1  I have also observed a pattern “observation 2” and  in where x is again

Conclusion

k and n.
• For k=10:

in where  and .

There is no limit to k and n.

5.) Explain why your results hold true in general:

Well I believe that my results hold true in general because the pattern I have been studying works will all the matrices I have tried it with. I have also used technology to see if my answers and observations were correct, in fact I was not mistaken.

This student written piece of work is one of many that can be found in our International Baccalaureate Maths section.

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to