Chapter 2 - Matrices and Systems of Linear Equations - 2.6 The Inverse of a Square Matrix - True-False Review - Page 177: h

True

If $A$ is an invertible $n \times n$ matrices and $B$ and $C$ are $n\times n$ matrices such that $AB=AC$ Multiplying both sides by $A^{-1}$ $\rightarrow A^{-1}AB=A^{-1}AC$ Since $A$ is invertible, we have $A^{-1}A=I$, $\rightarrow IB=IC\\ \rightarrow B=C$ Hence, the statement is true