$38\mathrm{.}9$ LAB: Matrix multiplication

A matrix is a rectangle of numbers in rows and columns. A $1xN$ matrix has one row and $N$ columns. An $NxN$ matrix has $N$ rows and $N$

columns.

Multiplying a $1xN$ matrix A and an $NxN$ matrix $B$ produces a $1xN$ matrix $C.$ To determine the Nth element of $C$ multiply each element of $A$ by

each element of the Nth column of $B$ and sum the results. Helpful information can be found at matrix multiplication.

Write a program that reads a $1$xN matrix A and an NxN matrix B from input and outputs the $1xN$ matrix product, $C.$ The first integer input is

$N,$ followed by one row of $N$ integers for matrix A and then $N$ rows of $N$ integers for matrix $B.N$ can be of any size $2.$

For coding simplicity, follow each output integer by a space, even the last one. The output ends with a newline.

Ex: If the input is:

$2,$

$2,3$

$1,2$

$,4$

A contains $2$ and $3,$ the first row of $B$ contains $1$ and $2,$ and the second row of $B$ contains $3$ and $4.$ The first element of $C$ is $(2**1)+(3**3),$

and the second element of $C$ is $(2**2)+(3^{**}4).$ The program output is:

Note: Store matrices A and $C$ into one$-$dimensional arrays and matrix $B$ into a two$-$dimensional array.