Skip to main content
edited body
Source Link
user39321
user39321

Let $n\geq 2$. Is it true that any $n\times n$ matrix with entries from a givergiven ring (with identity) can be written as a sum of two invertible matrices with entries from the same ring ?

Let $n\geq 2$. Is it true that any $n\times n$ matrix with entries from a giver ring (with identity) can be written as a sum of two invertible matrices with entries from the same ring ?

Let $n\geq 2$. Is it true that any $n\times n$ matrix with entries from a given ring (with identity) can be written as a sum of two invertible matrices with entries from the same ring ?

Source Link
user39321
user39321

Writing a matrix as a sum of two invertible matrices

Let $n\geq 2$. Is it true that any $n\times n$ matrix with entries from a giver ring (with identity) can be written as a sum of two invertible matrices with entries from the same ring ?