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# WHAT IS A REDUCED ECHLON FORM OF MATRICES..........?

Umakant biswal
5359 Points
5 years ago
@ NAG
the reduced echlon form of matrices are also called as row cannonical form ,
the matrix are said to be row cannonical form if it satisfy the following condition .
1- every leading coefficient is 1 and is the only non zero entry in the column .
let me to give an example so, that the thing become crystal clear to you
let us assume a 2*2 matrices
[1   3 ]    operation no 1 = add -2 times the first row to the 2nd row ,
[2  4 ]
u will get the new matrix as [1  3 ]
[0  -2 ]
step 2 – multiply the 2nd row by -1/2 . u will get the matrix as   [1  3]
[0  1 ]
step 3 = add -3 times the 2nd row to the first row ..
u will get the matrix as  [1  0 ]
[0  1 ]
and if not understood anything , then feel free to ask ..
ALL THE BEST ..
T Dileep
100 Points
5 years ago
DEAR NAG,
A MATRIX IS IN REDUCED ROW ECHLON FORM IF IT SATISFIES THE FLLOWING CONDITIONS :IT IS IN ROW ECHLON FORM.