• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

Math's Portfolio SL Type 1 "Matrix Powers"

Page
  1. 1
    1
  2. 2
    2
  3. 3
    3
  4. 4
    4
  5. 5
    5
  6. 6
    6
  7. 7
    7
  • Essay length: 1444 words
  • Submitted: 18/08/2009
Share this essay:
International Baccalaureate Maths

The first 200 words of this essay...

Newton College

Math's Portfolio

SL Type 1

"Matrix Powers"

Mauro Gelmi

IB 2

March 2009

Introduction

Matrices are tables of numbers or any algebraic quantities that can be added or multiplied in a specific arrangement. A matrix is a block of numbers that consist of columns and rows used to present raw data, store information or to perform certain mathematical operations

The aim of this portfolio is to find a general trend in different sets of matrices, therefore find a general formula that applies for all of the matrices. The pattern will then be explained and tested to see if applies correctly to all the sets of matrices.

Method

To calculate Mn for n = 2, 3, 4, 5, 10, 20, 50 I used a GDC.

Determinants are defined as ad-bc in a 2 2 matrix, and is denoted by det A = | A |. In Other words, det A = | A | = = ad-bc.

M2 = =, det (M2) = 16 = 42

M3 = =, det (M2) = 64 = 43

M4 =

Read more
The above preview is unformatted text

Found what you're looking for?

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

  • "
    I have used the site to find relevant essay questions for my senior students in Modern History to complete. As well as provided some essay samples to demonstrate the stucture of an historical essay.
    "
    Yvette Agars. Senior History Teacher. Saint John's College. Whyalla S.A.
  • "
    This is the most useful website I have ever used to gain information and ideas for my college work, and thanks to the site I have achieved distinctions in most of my coursework.
    "
    Nikolay. Business Studies. BTEC Student.

Marked by a teacher

This essay has been marked by one of our great teachers. You can read the full teachers notes when you download the essay.

Peer reviewed

This essay has been reviewed by one of our specialist student essay reviewing squad. Read the full review on the essay page.

Peer reviewed

This essay has been reviewed by one of our specialist student essay reviewing squad. Read the full review under the essay preview on this page.