Matrix and Basic Operations by Edu Pristine

Author of lecture Matrix and Basic Operations

Edu Pristine

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... "Portfolio Return and risk" - Positive definiteness - "Eigen value ...

... Eigen vector "Determinants" - Principal components - "Hedging using Options ...

... suppose she a friends Simran. Simran has 10 notebooks and 2 pens respectively. The information can be depicted by "Matrices Represent array of items". Used in various fields of finance, mathematics and applied sciences. Used in representation of the coefficients in system of line ar equations. Used in various areas of business like budgeting, sales projecti on, cost estimation, etc. www.edupristine.com © ...

... © Neev Knowledge Management. Pristine5 "Order of a matrix". Matrix having m rows and n columns is called a matrix of order m* n or simply m*n matrix. Number of elements in matrix is given by m*n, a 3*2 matrix has 6 elements. General m*n matrix can be represented by A is the element lying in the i th row and j th column n m mn m ...

... Matrix containing equal number of rows and columns". Diagonal matrix. A square matrix containing non diagonal elements zero i.e b ij=0, when i. www.edupristine.com © Neev Knowledge Management. Pristine 6 "Column ...

... 0 0 0 1 , 1 0 0 1 ,1 www.edupristine.com © Neev Knowledge Management. Pristine 7 "Identity matrix. Square matrix with diagonal element 1 and other elements 0 i.e. b ij= 0, when i, j and b ij=1, when I =j. Zero matrix. Matrix with all elements zero. Example: [0 0], [ 0 0 0] etc " ...

... are zero "upper triangular matrix". Matrix having all elements below main diagonal elements zero. "Lower triangular Matrix". Matrix having all elements above main diagonal elements zero ...

... A is an m*n matrix, then the matrix obtained by interchanging. The rows and column of A is called a transpose of A (order n*m). It is denoted by A or AT. Example: A = ðú ðú ðú ðû ðù ðê ðê ðê ðë ...