fatimawada123 fatimawada123
  • 26-03-2021
  • Mathematics
contestada

Use matrix method to solve 2+y=3,x+2y=9

Respuesta :

Leora03
Leora03 Leora03
  • 26-03-2021

Answer:

x= -1, y= 5

Step-by-step explanation:

Please see the attached picture for the full solution.

Matrix A is called the coefficient matrix. This means that its elements are the coefficient of x and y. In matrix X, write the unknown variables. Then write the constants in matrix B.

Theorem:

[tex]{A}^{ - 1} A = I[/tex]

☆ I is an identity matrix and can be treated as 1 when multiplying.

[tex] {A}^{ - 1} = \frac{1}{ |A| } adj(A)[/tex]

☆ [tex] |A|[/tex] is the determinant of A

☆ adj(A) is the adjoint of matrix A

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