Question

What is the product?

Answer 1

Answer:

option C

  15         14

  -1           9

Step-by-step explanation:

Given in the question a 2x3 and 3x2 matrix

Since, the column of first matrix and row of second matrix is of equal integer, 3, so we can multiply them.

The resultant matrix will be of 2x2

We will use dot product

  1(2) + 3(3) + 1(4)              1(-2) + 3(5) + 1(1)      

-2(2) + 1(3) + 0(4)             -2(-2) + 1(5) + 0(1)  

      15         14

      -1          9

 

Answer 2

Answer:

The correct answer option is:

$\left[\begin{array}{ccc}15&14\\-1&9\\\end{array}\right]$

Step-by-step explanation:

For two matrices to be multiplied, the number of columns in the first matrix should be equal to the number of rows in the 2nd one.

Then we multiply the elements of each row of the first matrix by the elements of each column in the second matrix and add them.

$(1 \times 2)+(3 \times 3)+(1 \times 4) =2+9+4=15$

$(1 \times -2)+(3 \times 5)+(1 \times 1) =-2+15+1=14$

$(-2 \times 2)+(1 \times 3)+(0 \times 4) =-4+3+0=-1$

$(-2 \times 2)+(1 \times 5)+(0 \times 1) =4+5+0=9$

So we get:

$\left[\begin{array}{ccc}15&14\\-1&9\\\end{array}\right]$