help i need to convert a matrix to an idendity matrix the matrix is 2 9 -4 THANK YOU
3 5 1
2 3 -2
2 9 -4 1 0 0
3 5 1 0 1 0
2 3 -2 0 0 1 multiply the 1st row by 1/2
1 9/2 -2 1/2 0 0
3 5 1 0 1 0
2 3 -2 0 0 1 multiply the 1st row by -3 add this to the 2nd row
1 9/2 - 2 1/2 0 0
0 -17/2 7 -3/2 1 0
2 3 -2 0 0 1 multiply the the 1st row by -2 add this to the 3rd row
1 9/2 -2 1/2 0 0
0 -17/2 7 -3/2 1 0
0 -6 2 -1 0 1 multiply the first two rows by 2
2 9 -4 1 0 0
0 -17 14 -3 2 0
0 -6 2 -1 0 1 multiply the 2nd row by 9/17 add to the 1sr row
2 0 58/17 -10/17 18/17 0
0 -17 14 -3 2 0
0 -6 2 -1 0 1 multiply the 2nd row by -6/17 add to the 3rd row
2 0 58/17 -10/17 18/17 0
0 -17 14 -3 2 0
0 0 -50/17 1/17 -12/17 1 multply the 1st and 3rd rows by 17
34 0 58 -10 18 0
0 -17 14 -3 2 0
0 0 -50 1 -12 17 multiply the 3rd row by 58/50 add to the 1st row
34 0 0 -221/25 102/25 493/25
0 -17 14 -3 2 0
0 0 -50 1 -12 17 multiply the 3rd row by 14/50 add to the 2nd row
34 0 0 -221/25 102/25 493/25
0 -17 0 - 68/25 -34/25 119/25
0 0 -50 1 -12 17
divide the 1st row by 34, the 2nd by -17, and the 3rd by -50
1 0 0 -13/50 3/25 29/50
0 1 0 4/25 2/25 -7/25
0 0 1 -1/50 6/25 -17/50
The first matrix is the identity of your matrix.......the second matrix is the inverse of your matrix.....
2 9 -4 1 0 0
3 5 1 0 1 0
2 3 -2 0 0 1 multiply the 1st row by 1/2
1 9/2 -2 1/2 0 0
3 5 1 0 1 0
2 3 -2 0 0 1 multiply the 1st row by -3 add this to the 2nd row
1 9/2 - 2 1/2 0 0
0 -17/2 7 -3/2 1 0
2 3 -2 0 0 1 multiply the the 1st row by -2 add this to the 3rd row
1 9/2 -2 1/2 0 0
0 -17/2 7 -3/2 1 0
0 -6 2 -1 0 1 multiply the first two rows by 2
2 9 -4 1 0 0
0 -17 14 -3 2 0
0 -6 2 -1 0 1 multiply the 2nd row by 9/17 add to the 1sr row
2 0 58/17 -10/17 18/17 0
0 -17 14 -3 2 0
0 -6 2 -1 0 1 multiply the 2nd row by -6/17 add to the 3rd row
2 0 58/17 -10/17 18/17 0
0 -17 14 -3 2 0
0 0 -50/17 1/17 -12/17 1 multply the 1st and 3rd rows by 17
34 0 58 -10 18 0
0 -17 14 -3 2 0
0 0 -50 1 -12 17 multiply the 3rd row by 58/50 add to the 1st row
34 0 0 -221/25 102/25 493/25
0 -17 14 -3 2 0
0 0 -50 1 -12 17 multiply the 3rd row by 14/50 add to the 2nd row
34 0 0 -221/25 102/25 493/25
0 -17 0 - 68/25 -34/25 119/25
0 0 -50 1 -12 17
divide the 1st row by 34, the 2nd by -17, and the 3rd by -50
1 0 0 -13/50 3/25 29/50
0 1 0 4/25 2/25 -7/25
0 0 1 -1/50 6/25 -17/50
The first matrix is your matrix transformed to an identity matrix.......the second matrix is the inverse of your matrix.....