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Question 84386: find the inverse, if it exists,in the matrix. I am not sure and don't understand how to do the inverse. I used the underscore to separate the numbers within the matrix.
2_ 0_ 4
3_ 1_ 5
-1_1_-2
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! find the inverse, if it exists,in the matrix. I am not sure and don't understand how to do the inverse. I used the underscore to separate the numbers within the matrix.
2_ 0_ 4
3_ 1_ 5
-1_1_-2
SEE THE FOLLOWING WORK
1.FRAME AUGMENTED MATRIX ADDING UNIT MATRIX OF ORDER(3,3)
2.BY SERIES OF OPERATIONS INDICATED ,MAKE A AS UNIT MATRIX..
THEN RHS MATRIX BECOMES INVERSE.
NR1=NEW ROW1…….R1=OLD ROW 1 ETC..
2 0 4 1 0 0
3 1 5 0 1 0
-1 1 -2 0 0 1
NR1=R1/2……..NR2=R2-3R1/2……NR3=R3+R1/2………
1 0 2 0.5 0 0
0 1 -1 -1.5 1 0
0 1 0 0.5 0 1
NR3=R3-R2
1 0 2 0.5 0 0
0 1 -1 -1.5 1 0
0 0 1 2 -1 1
NR2=R2+R3………….NR1=R1-2R3
1 0 0 -3.5 2 -2
0 1 0 0.5 0 1
0 0 1 2 -1 1
INVERSE IS
-3.5 2 -2
0.5 0 1
2 -1 1
IF IN DOUBT PLEASE COME BACK
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