If , , and , verify that and…

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

A=\begin{bmatrix}1&2\\-2&3\end{bmatrix}

B=\begin{bmatrix}2&1\\2&3\end{bmatrix}

, and

C=\begin{bmatrix}-3&1\\2&0\end{bmatrix}

, verify that

(AB)C=A(BC)

and

A(B+C)=AB+AC