Question

PLEASE HELP I'm having trouble ​

Answer 1

`c_(11)=56.1`

`c_(12)=12.1`

`c_(13)=236`

Explanation:

• The product of two matrices
  `X_{m*{n}}` and
  `Y_{n*{r}}` equals a matrix
  `M_{m*{r}}`, where the first element of the subscript represents the amount of files of the matrix and the second element represents the amount of columns of the matrix.
• Then, in this case
  `A_{1*{3}}`
  `B_{3*{3}}`, therefore, its product will result a matrix
  `C_{1*{3}}`.
• Because C matrix is going to have an only file and three columns, we now have to find the values of the elements in each column, based on the elements of A and B.
• Commonly, to obtain the values of the resulting matrix, we just have to multiply each file of the first matrix by each column of the second matrix and sum, as follows:

1. 
   `c_(11)=77*1.2+39*2.2-33*3.7=56.1`
2. 
   `c_(12)=77*1.4+39*1.1-33*4.2=12.1`
3. 
   `c_(13)=77*3.1+39*5.6-33*6.7=236`

• Finally, C matrix is
  `\begin{pmatrix}\56.1 & 12.1& 236\end{pmatrix}`