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

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

Grade:12th pass

2 Answers

Umakant biswal
5359 Points
4 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 ] 
thats the answer , 
if my answer is helpfull then kindly approve it .. 
and if not understood anything , then feel free to ask .. 
ALL THE BEST ..
T Dileep
100 Points
4 years ago
DEAR NAG,
          A MATRIX IS IN REDUCED ROW ECHLON FORM IF IT SATISFIES THE FLLOWING CONDITIONS :IT IS IN ROW ECHLON FORM.

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