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d1i1m1o1n [39]
3 years ago
9

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

Mathematics
1 answer:
Troyanec [42]3 years ago
4 0

Answer:

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

Step-by-step explanation:

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

Where A^{-1} 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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