Question

What is the formula for matrix inverse?

Answer 1

Determine the formula of inverse of the matrix.

A matrix is the arrangement of numbers/elements in rows and columns.

For matrix $A$, the inverse of the matrix is defined as $A^{-1}=\frac{adj\left(A\right)}{\left|A\right|}$ such that, $\left|A\right|\ne 0$ and $adj\left(A\right)$ is the adjoint of the matrix $A$ and $\left|A\right|$ is the determinant of matrix $A$.

Therefore, the formula of inverse of the matrix is $A^{-1}=\frac{adj\left(A\right)}{\left|A\right|}$.