Find the inverse of the matrix
-6 5 4
5 -4 3
-6 -5 4
2007-02-06 22:30:42 · 5 answers · asked by ozi 1 in Science & Mathematics ➔ Mathematics
1/380 times
| 1 40 31 |
| 38 0 -38|
| -49 60 1|
2007-02-06 22:43:18 · answer #1 · answered by Anonymous · 1⤊ 0⤋
First get the determinant, which is -6[(-4)(4)-(3)(-5)]-5[(5)(4)-3(-6)]+4[(5)(-5)-(-4)(-6)]=-6[-1]-5[38]+4[-49]=6-190-196=-380
The adjoint matrix is:
-1 -38 -49
-40 0 -60
31 38 -1
Calculating the transpose of this gives:
-1 -40 31
-38 0 38
-49 -60 -1
The last matrix above divided by the determinant to give the inverted matrix to the one in the question, and so is:
0.00263 0.10526 -0.08158
0.10000 0.00000 -0.10000
0.12895 0.15789 0.00263
HOPE THAT IS HELPFUL!!!!
2007-02-07 07:16:53 · answer #2 · answered by RobLough 3 · 0⤊ 0⤋
The inverse is:
0.0026315790.105263158-0.081578947
0.1 0 -0.1
0.1289473680.1578947370.002631579
2007-02-07 06:47:05 · answer #3 · answered by RWPOW 2 · 1⤊ 0⤋
(0.003) (0.0105) (-0.082)
(0.100) (0.0000) (-0.100)
(0.129) (0.1580) (00.003)
2007-02-07 06:45:45 · answer #4 · answered by Mark G 7 · 1⤊ 0⤋
5430000000000000043333333333333333355555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555
2007-02-07 06:34:38 · answer #5 · answered by WELL SAID ERFMAN JACK 2 · 1⤊ 1⤋