Respuesta :

Answer:

a: 5

b: -3

c: -1

d: 1

Step-by-step explanation:

Given the matrix:

A = [4   12

       1   10]

its determinant is: 4*10 - 1*12 = 28

the inverse of A is:

1/28*[10  -12

        -1    4]    

[10/28  -12/28

-1/28    4/28]    

A^-1 = [5/14  -3/7

          -1/28  1/7]

a: 5

b: -3

c: -1

d: 1

  • The calculation is as follows:

Given the matrix:

A = [4   12

      1   10]

its determinant is: 4(10) - 1(12) = 28

Now

the inverse of A is:

1 ÷ 28 × [10  -12

       -1    4]    

[10 ÷ 28  -12 ÷ 28

-1 ÷ 28    4 ÷ 28]    

A^-1 = [5÷  14  -3 ÷ 7

         -1÷  28  1 ÷  7]

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