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Find the inverse of theelementary matrix I know the answer but I do not get it h

ID: 2938120 • Letter: F

Question

Find the inverse of theelementary matrix I know the answer but I do not get it how to get.. so couldyou explain step by step~~ thank you in advance.. 1   0   0   0 0   1   k   0 0   0   1   0    0   0   0   1 Find the inverse of theelementary matrix I know the answer but I do not get it how to get.. so couldyou explain step by step~~ thank you in advance.. I know the answer but I do not get it how to get.. so couldyou explain step by step~~ thank you in advance.. 1   0   0   0 0   1   k   0 0   0   1   0    0   0   0   1

Explanation / Answer

QuestionDetails: Find the inverse of theelementary matrix I know the answer but I do not get it how to get.. so couldyou explain step by step~~ thank you in advance.. I know the answer but I do not get it how to get.. so couldyou explain step by step~~ thank you in advance.. 1   0   0   0 0   1   k   0 0   0   1   0    0   0   0   1

AUGMENTED MATRIX WITH UNIT MATRIX           
MATRIX A……………………UNITMATRIX            
BY ELEMENTARY TRANSFORMATIONS WE CHANGE IT TO                                     
UNIT MATRIX ………………INVERSEOF MATRIX A                                     
GAUSS INVERSION METHOD                                     
1    0    0   0    1    0   0    0          
0    1    K   0    0    1   0    0          
0    0    1   0    0    0   1    0          
0    0    0   1    0    0   0    1          
NR2=R2-K*R3                                    
1    0    0   0    1    0   0    0          
0    1    0   0    0    1   -K    0          
0    0    1   0    0    0   1    0          
0    0    0   1    0    0   0    1          
NOW THE MATRIX HAS CHANGED TO THE REQUIRED TYPE.                                    
NAMELY UNIT MATRIX ON LEFT AND THE RIGHT SIDE                                     
MATRIX IS THERE FORE THE INVERSE OF MATRIX A                                     
INVERSE OF MATRIX A =                                    
1    0    0   0                  
0    1    -K   0                  
0    0    1   0                  
0    0    0   1                  

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