Showing posts with label Matrices. Show all posts
Showing posts with label Matrices. Show all posts

Wednesday, 12 September 2012

Linear Dependence of Matrices, Linear Independence of Matrices


LINEAR DEPENDENCE AND INDEPENDENCE OF VECTOR

Linear Dependence and Independence of Matrices
Vectors (Matrices) X_1,X_2,X_3.............X_n are said to be dependent if
 All the vectors (Row or Column Matrices) are of same order.
n -- Scalars Y_1,Y_2,Y_3.............Y_n exist such that 〖X_1 Y〗_1+ 〖X_2 Y〗_2+ 〖X_3 Y〗_3.............+ 〖X_n Y〗_n= 0  ............. Otherwise they are linearly independent.