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 = 329 ≈ 0.103448
b = -929 ≈ -0.310345
c = 2729 ≈ 0.931034
d = 629 ≈ 0.206897

Our linear equations calculator calculates it.



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




Tips to related online calculators
Do you have a system of equations and looking for calculator system of linear equations?

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  • Inverse matrix
    matrix_3 Find how many times is the larger determinant is the matrix A, which equals 9 as the determinant of its inverse matrix.
  • The inverse
    math_3 The inverse matrix for matrix A has a determinant value of 0.333. What value has a determinant of the matrix A?
  • The determinant
    matrix_13 The determinant of the unit matrix equals 7. Check how many rows the A matrix contains.