Multiply the Matrices a=[[0,4],[0,8]]

Problem

[[0,4],[0,8]]*[[0,4],[0,8]]

Solution

1. Identify the task as squaring the matrix A which involves multiplying the matrix by itself.

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

3. Calculate the top-left element:

(0⋅0)+(4⋅0)=0

4. Calculate the top-right element:

(0⋅4)+(4⋅8)=32

5. Calculate the bottom-left element:

(0⋅0)+(8⋅0)=0

6. Calculate the bottom-right element:

(0⋅4)+(8⋅8)=64

Final Answer

[[0,4],[0,8]]*[[0,4],[0,8]]=[[0,32],[0,64]]

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