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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:

[tex]\left[\begin{array}{ccc}14&-4\end{array}\right][/tex]

Step-by-step explanation:

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

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

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

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

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

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

Now we multiply 2 with EA

So matrix becomes

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

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