# Maths C

 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" 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). 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 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 COMMUTATIVE Addition of matrices is associative.That is, A + B = B + AMultiplication of matrices is NOT commutative.That is AB ≠ BA ASSOCIATIVE Addition of matrices is associative.That is, (A + B) + C = A + (B + C) 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 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] TRANSITION The transition matrix represents the probabilities that something will move from one state to another SIMULTANEOUS Simultaneous┌ a b ┐┌ x ┐= ┌4┐└ c d ┘└ y ┘= └5┘To solve, inverse of the first matix will need to be used MARKOV CHAIN A Markov chain is used to make predictions and long term forecasts based on current information NOTATIONS Identity MatrixIInverse of a MatrixA-1Transpose of a MatrixAT AuthorNickHendo ID70996 Card SetMaths C DescriptionTerminology for maths C exam Updated2011-03-06T11:08:46Z Show Answers