Multiply the Matrices [[1,0],[0,1]][[2,2]]

Problem

[[1,0],[0,1]]*[[2],[2]]

Solution

1. Identify the dimensions of the matrices. The first matrix is a 2×2 identity matrix and the second is a 2×1 column vector. The resulting matrix will be 2×1

2. Calculate the first entry by taking the dot product of the first row of the identity matrix and the column vector.

1*(2)+0*(2)=2

3. Calculate the second entry by taking the dot product of the second row of the identity matrix and the column vector.

0*(2)+1*(2)=2

4. Recognize that multiplying any matrix by the identity matrix I results in the original matrix.

I*A=A

Final Answer

[[1,0],[0,1]]*[[2],[2]]=[[2],[2]]

Want more problems? Check here!