Maths C

Card Set Information

Author:
NickHendo
ID:
70996
Filename:
Maths C
Updated:
2011-03-06 06:08:46
Tags:
Terminology
Folders:

Description:
Terminology for maths C exam
Show Answers:

Home > Flashcards > Print Preview

The flashcards below were created by user NickHendo on FreezingBlue Flashcards. What would you like to do?


  1. ORDER
    • The number of rows and columns a matrice has. E.g. a matrix with m rows and n columns has an order of "m x n".
    • HINT: Use the term "Remote Control - RC" to remember "Rows x Columns"
  2. ELEMENTS
    • An element in a matrice is any number located within that matrice.
    • The elements of matrix A are reffered to as aij where 'i' is is the row position and 'j' is column position.

    • ┌ a11 a12 a13
    • └ a21 a22 a23
    • ┌ 9 2 5 ┐
    • └ 8 7 2 ┘

    That is a12 refers to the element in row 1, column 2 (2). a23 refers to the element in row 2, column 3 (2).
  3. COMFORMABLE
    • If matrices are to be multiplied, they must be comformable.
    • That is, the number of columns imn the first matrix must be the same as the number of rows in the second

    • m x n x n x p = m x p
    • -----↑--↑---------↑
    • Must be the same - Order of product
  4. IDENTITY MATRIX
    • A matrix with all of its leading diagonal elements equal to 1.
    • An identity matrix is denoted by I and acts in a similar fashion to the number 1.
    • The leading diagonal is from top left to bottom right
  5. COMMUTATIVE
    • Addition of matrices is associative.
    • That is, A + B = B + A
    • Multiplication of matrices is NOT commutative.
    • That is ABBA
  6. ASSOCIATIVE
    • Addition of matrices is associative.
    • That is, (A + B) + C = A + (B + C)
  7. DETERMINANT
    • The number (ad-bc) is called the determinant and is written as detA or |A|
    • If the determinant is = 0 then there is no inverse for that matrice as 1/0 is undefined
  8. INVERSE
    • The inverse of a matrice has to be used as a substitute for dividing matrices.
    • It is determined by:
    • 1/ad-bc[-cda-b]
  9. TRANSITION
    The transition matrix represents the probabilities that something will move from one state to another
  10. SIMULTANEOUS
    • Simultaneous
    • ┌ a b ┐┌ x ┐= ┌4┐
    • └ c d ┘└ y ┘= └5┘
    • To solve, inverse of the first matix will need to be used
  11. MARKOV CHAIN
    A Markov chain is used to make predictions and long term forecasts based on current information
  12. NOTATIONS
    • Identity Matrix
    • I
    • Inverse of a Matrix
    • A-1
    • Transpose of a Matrix
    • AT

What would you like to do?

Home > Flashcards > Print Preview