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.



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