To multiply matrices, the number of columns in the first matrix must equal the number of rows in the second matrix. The resulting matrix will have the number of rows of the first and the number of columns of the second. For example, a matrix with dimensions axb can be multiplied with a bxc matrix to produce an axc resulting matrix.

1. In order to be able to multiply matrices together, they must be of the format [axb].[bxc]

2. In order to be able to multiply matrices together, they must be of the format [axb].[bxc]The resulting matrix is axc

3. In order to be able to multiply matrices together, they must be of the format [axb].[bxc]The resulting matrix is axcIn other words, the number of columns in the first matrix must be equal to the number of rows in the second

4. In order to be able to multiply matrices together, they must be of the format [axb].[bxc]The resulting matrix is axcIn other words, the number of columns in the first matrix must be equal to the number of rows in the secondThus, the answer is b and c

5. So the problem we need to solve isx

6. To multiply matrices, we go row by columnx

7. To multiply matrices, we go row by columnx=

8. Take the sum of the products of corresponding elementsx=Here we have (4*10)+(1*1)+(2*5)+(6*2)=40+1+10+12=63So 63 goes in this circle

9. Take the sum of the products of corresponding elementsx=Here we have (4*10)+(1*1)+(2*5)+(6*2)=40+1+10+12=63So 63 goes in this circle

10. Continuing this process, we getx=As desired, we get a 3x2 matrix!