Product of Two Matrices Let A be an m n matrix and let B be an n k matrix. To find the element in the ith row and jth column…
Month: July 2014
Product of a Matrix and a Scalar
Product of a Matrix and a Scalar The product of a scalar k and a matrix X is the matrix kX, each of whose elements is k times the corresponding…
Subtracting Matrices
Subtracting Matrices For two m n matrices X and Y, the different X –Y is the m n matrix defined by X – Y = X + (-Y). This definition…
ADDITIVE INVERSE
ADDITIVE INVERSE The additive inverse (or negative) of a matrix – X is the matrix in which each element is the additive inverse of the corresponding element of X.…
Adding Matrices
Adding Matrices The sum of two m n matrices X and Y is the m n matrix X + Y in which each element is the sum of the corresponding…
Matrix Equality
Matrix Equality Two matrices are equal if they are the same size and if each pair of corresponding elements is equal. By this definition, and are not equal…
Gauss-Jordan Method Solving a Linear System
Gauss-Jordan Method Solving a Linear System 1. Write each equation so that variable terms are in the same order on the left side of the equals sign and constants…
Echelon Method of Solving a Linear System
Echelon Method of Solving a Linear System a. If possible , arrange the equation so that these is an x1 – term in the first equation, an x2 –term in…
Transformations of a system
Transformations of a system The following transformations can be applied to a system of equations to get an equivalent system: a. Exchanging any two equations; b. Multiplying both sides of…
Least Squares Line
Least Squares Line The least square line Y = mx + b that gives the best fir to the data points (x1 , y1) , (x2 , y2) ,…….(xn ,…
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