Calculate elements the listed element for the product matrix.
matrix[1, 2, -3_3, 4, 0_-9, 7, 8_9, 3, 2]Xmatrix[11, 7, 9, -5_5, -9, 1, 6_4, 2, -3, -8]
Can someone please help me with this. I'm desperate.
To calculate the elements of the product matrix, you need to perform matrix multiplication. The product matrix will have dimensions equal to the number of rows of the first matrix and the number of columns of the second matrix.
Given the matrices:
matrix A = [1, 2, -3_3, 4, 0_-9, 7, 8_9, 3, 2]
matrix B = [11, 7, 9, -5_5, -9, 1, 6_4, 2, -3, -8]
The dimensions of matrix A are 3x3, and the dimensions of matrix B are 3x4. Since the number of columns in matrix A is equal to the number of rows in matrix B, you can perform matrix multiplication.
To find each element of the product matrix, you can use the following formula:
C(i,j) = A(i,k) * B(k,j)
Where C(i,j) represents the element at the i-th row and j-th column of the product matrix, A(i,k) represents the element at the i-th row and k-th column of matrix A, and B(k,j) represents the element at the k-th row and j-th column of matrix B.
Now, let's calculate the elements of the product matrix.