Question

Find the following matrix product, if it exists. 3 - 4 -2 -1 4 3 -5 4 - 2 0 -2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. 3 - 4 - 2 - 1 4 O A. 1 3 - (Simplify your answer.) -5 4 - 2 0 - 2 B. The product does not exist.

Answer 1

we can man solution considee a matein A with mrows and in columns. Then say the order of the matein i (say as in by n) Let A and B are two matrices. The the matkin multiplicati con is possible only if number of columns of first matein is equal to number of rows. If A is of order man and B is of order nxq then the product li matein AB has the order mag. Here our first matein feest matein has 2 rows and 3 columns and second matein has 3 rews and a colums. Hence multiplication to possible and the order of resulting matein is 2x2. And multiplication is done by following e f ae+bg aftbh. d method; a b 11 C g Icerdg cftch In this way, [(-283)+(-121) +0 722 =)+63776543 3 2 --) 4 13 -1 3 -5 윽 (-5*-*)+(113)+(-2,-2) 4 -2 |(-583) +4+0 - 2 1-6-1 8-3-89 E1514 20+12+ihy า 3 36 au

Hence the required product matrix is,

$\begin{bmatrix} -7 & -3\\ -11&36 \end{bmatrix}$