Perform the matrix multiplication: [3 1; 4 2] * [2 0; 1 3].a.[5 3; 10 6]b.[3 1; 4 2]c.[7 3; 10 6]d.[7 1; 10 4]

Matrix multiplication is performed element by element, row by row, and column by column. Here's how to multiply the given matrices:

First, let's write down the matrices:

Matrix A = [3 1; 4 2] Matrix B = [2 0; 1 3]

The result of the multiplication will be a new 2x2 matrix. Let's call it Matrix C.

To find the element at the first row and first column of Matrix C (C11), we multiply the elements of the first row of Matrix A by the elements of the first column of Matrix B and add them together:

C11 = (32) + (11) = 6 + 1 = 7

To find the element at the first row and second column of Matrix C (C12), we multiply the elements of the first row of Matrix A by the elements of the second column of Matrix B and add them together:

C12 = (30) + (13) = 0 + 3 = 3

To find the element at the second row and first column of Matrix C (C21), we multiply the elements of the second row of Matrix A by the elements of the first column of Matrix B and add them together:

C21 = (42) + (21) = 8 + 2 = 10

To find the element at the second row and second column of Matrix C (C22), we multiply the elements of the second row of Matrix A by the elements of the second column of Matrix B and add them together:

C22 = (40) + (23) = 0 + 6 = 6

So, the result of the multiplication is:

Matrix C = [7 3; 10 6]

Therefore, the correct answer is c.[7 3; 10 6].