Inverse matrix

Find out inverse by Gauss elimination or by reduction method.
A=[2/3. 1
-3. 1/3]

Correct result:

a =  0.1034
b =  -0.3103
c =  0.931
d =  0.2069

Solution:


2/3a+1c = 1
2/3b + 1d = 0
-3a + 1/3c = 0
-3b + 1/3d = 1

2/3•a+1•c = 1
2/3•b + 1•d = 0
-3•a + 1/3•c = 0
-3•b + 1/3•d = 1

2a+3c = 3
2b+3d = 0
9a-c = 0
9b-d = -3

a = 3/29 ≈ 0.103448
b = -9/29 ≈ -0.310345
c = 27/29 ≈ 0.931034
d = 6/29 ≈ 0.206897

Our linear equations calculator calculates it.



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