Samanthacook9127 Samanthacook9127
  • 14-01-2020
  • Mathematics
contestada

What is the relationship between the inverse of a matrix and the determinant of a matrix?

Respuesta :

abiolaraymond1995
abiolaraymond1995 abiolaraymond1995
  • 15-01-2020

Answer:

[tex]A^{-1} = \frac{1}{/A/} * Adj A[/tex]

Step-by-step explanation:

[tex]A^{-1} = \frac{1}{/A/} * Adj A[/tex]

Where [tex]A^{-1}[/tex] is the inverse of a matrix A

/A/ is the determinant of matrix A

Adj A, is the Adjunct of matrix A, which is also known as the transpose of its co-factor matrix C.

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