Verified Answer :

In mathematics, a matrix (plural matrices) is a
rectangular array of numbers, symbols, or expressions, arranged in rows and
columns.

 

Given that

E = [ 1 2]

 

A = | 3
0|

      | 2
-1 |

2EA = 2 [1 2] | 3  0|

                      | 2 -1 |

 

2EA = [ 14
-4]

 

Answer:

\(\left[\begin{array}{ccc}14&-4\end{array}\right]\)

Step-by-step explanation:

To find out the matrix 2EA we multiply EA first and then multiply it by 2

E=\(\left[\begin{array}{ccc}1&2\end{array}\right]\)

A=\(\left[\begin{array}{ccc}3&0\\2&-1\end{array}\right]\)

To get EA , multiply 1 and 2 with 3  and 2= 3+4=7

multiply 1 and 2 with 0 and -1= -2

EA= \(\left[\begin{array}{ccc}7&-2\end{array}\right]\)

Now we multiply 2 with EA

So matrix becomes

2EA= \(\left[\begin{array}{ccc}14&-4\end{array}\right]\)