AP

MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let

k=3

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

and

B=\begin{bmatrix}2&1\\0&-1\\1&4\end{bmatrix}

. (i) Compute

AB

. (ii) Compute

k(AB)

. (iii) Compute

(kA)B

. (iv) Compute

A(kB)

. (v) Verify that

k(AB)=(kA)B=A(kB)