Multiply the Matrices [[1,1]]*[[1,1],[1,2]]

Problem

[[1,1]]*[[1,1],[1,2]]

Solution

1. Check dimensions to ensure the multiplication is defined. The first matrix is 1×2 and the second matrix is 2×2 Since the number of columns in the first equals the number of rows in the second, the resulting matrix will be 1×2

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

1*(1)+1*(1)=2

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

1*(1)+1*(2)=3

4. Combine the results into the final matrix format.

[[2,3]]

Final Answer

[[1,1]]*[[1,1],[1,2]]=[[2,3]]

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