Multiple choice

Multiplication of matrices E and F is G. Matrices E and G are

$E=\begin{bmatrix} \ cos\theta & -sin\theta & 0 \ \ sin\theta & cos\theta & 0 \ \ 0 & 0 & 1 \ \end{bmatrix}and\hspace{0.1cm} G=\begin{bmatrix} \ 1 & 0 & 0 \ \ 0 & 1 & 0 \ \ 0 & 0 & 1 \ \end{bmatrix}.\text{What is the matrix F}?$

  1. $\begin{bmatrix} \ cos\theta & -sin\theta & 0 \\ \ sin\theta & cos\theta & 0 \\ \ 0 & 0 & 1 \\ \end{bmatrix}$
  2. $\begin{bmatrix} \ sin\theta & cos\theta & 0 \\ \ -cos\theta & sin\theta & 0 \\ \ 0 & 0 & 1 \\ \end{bmatrix}$
  3. $\begin{bmatrix} \ cos\theta & sin\theta & 0 \\ \ -sin\theta & cos\theta & 0 \\ \ 0 & 0 & 1 \\ \end{bmatrix}$
  4. $\begin{bmatrix} \ sin\theta & -cos\theta & 0 \\ \ cos\theta & sin\theta & 0 \\ \ 0 & 0 & 1 \\ \end{bmatrix}$
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C Correct answer
Explanation

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