Kai Kerr

2023-03-13

Can we say that a zero matrix is invertible?

Jazlene Martin

Beginner2023-03-14Added 4 answers

Explanation of the right response:

Invertible Matrix:

Any square matrix $A$ of order n × n is called invertible matrix if there exists another $n\times n$ square matrix $B$

such that, $AB=BA=I$,

where $I$ is an identity matrix of order $n\times n$.

Hence, an invertible matrix cannot contain a zero matrix.

Invertible Matrix:

Any square matrix $A$ of order n × n is called invertible matrix if there exists another $n\times n$ square matrix $B$

such that, $AB=BA=I$,

where $I$ is an identity matrix of order $n\times n$.

Hence, an invertible matrix cannot contain a zero matrix.