Multiply the Matrices [[1,1],[0,0]][[1,1],[0,0]]

Problem

[[1,1],[0,0]]*[[1,1],[0,0]]

Solution

1. Identify the dimensions of the matrices. Both are 2×2 matrices, so the resulting product will also be a 2×2 matrix.

2. Calculate the element in the first row, first column by taking the dot product of the first row of the first matrix and the first column of the second matrix.

1*(1)+1*(0)=1

3. Calculate the element in the first row, second column by taking the dot product of the first row of the first matrix and the second column of the second matrix.

1*(1)+1*(0)=1

4. Calculate the element in the second row, first column by taking the dot product of the second row of the first matrix and the first column of the second matrix.

0*(1)+0*(0)=0

5. Calculate the element in the second row, second column by taking the dot product of the second row of the first matrix and the second column of the second matrix.

0*(1)+0*(0)=0

6. Assemble the resulting matrix using the calculated values.

Final Answer

[[1,1],[0,0]]*[[1,1],[0,0]]=[[1,1],[0,0]]

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