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  4. If A is a square matrix of order m, then the matrix B of same order is called the inverse of the matrix A, if

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Q. If $A$ is a square matrix of order $m$, then the matrix $B$ of same order is called the inverse of the matrix $A$, if

Matrices

Solution:

If $A$ is a square matrix of order $m$, and if there exists another square matrix $B$ of the same order $m$, such that $AB = BA = I$, then $B$ is called the inverse matrix of $A$. In this case $A$ is said to be invertible.