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

Problem

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

Solution

1. Identify the matrices to be multiplied. The first matrix is the identity matrix I and the second matrix is a scalar matrix.

2. Apply the rule for matrix multiplication where the element in the ith row and jth column is the dot product of the ith row of the first matrix and the jth column of the second matrix.

3. Calculate the top-left element:

(1⋅2)+(0⋅0)=2

4. Calculate the top-right element:

(1⋅0)+(0⋅2)=0

5. Calculate the bottom-left element:

(0⋅2)+(1⋅0)=0

6. Calculate the bottom-right element:

(0⋅0)+(1⋅2)=2

Final Answer

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

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