Question

The order of [x, y, z] $\left[\begin{array}{ccc}a& h& g\\ h& b& f\\ g& f& c\end{array}\right]$ $\left[\begin{array}{c}x\\ y\\ z\end{array}\right]$ is

• A. $3\times 1$
• B. $1\times 1$
• C. $1\times 3$
• D. $3\times 3$

Answer 1

The correct option is B $1\times 1$

it contains three matrixes with order $(1\times 3),(3\times 3)$ and $(3\times 1)$ respectively.

$\therefore$ For the product of first two matrix we get , $(1\times 3)$ matrix

then $(1\times 3)$ and $(3\times 1)$ further result is $(1\times 1)$ matrix .

Hence the order of given matrix set is $(1\times 1)$