Multiply the Matrices

Problem

[[0,0,0],[0,0,0],[0,0,0],[0,0,0],[0,0,0],[0,0,0]]*[[0,0],[0,0],[0,0]]

Solution

1. Identify the dimensions of the matrices. The first matrix is a 6×3 matrix and the second matrix is a 3×2 matrix.

2. Check for compatibility. Since the number of columns in the first matrix (3) matches the number of rows in the second matrix (3), the multiplication is defined.

3. Determine the size of the resulting matrix. The product will be a 6×2 matrix.

4. Calculate the entries using the dot product of rows and columns. Since every entry in both matrices is 0 every sum of products will be 0

0*(0)+0*(0)+0*(0)=0

Final Answer

[[0,0,0],[0,0,0],[0,0,0],[0,0,0],[0,0,0],[0,0,0]]*[[0,0],[0,0],[0,0]]=[[0,0],[0,0],[0,0],[0,0],[0,0],[0,0]]

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