Multiply the Matrices [[5,5],[7,5]]

Problem

[[5,5],[7,5]]*[[5,5],[7,5]]

Solution

1. Identify the operation as squaring the matrix, which involves multiplying the matrix by itself.

2. Calculate the top-left element by multiplying the first row by the first column: 5(5) + 5(7)$.

3. Calculate the top-right element by multiplying the first row by the second column: 5(5) + 5(5)$.

4. Calculate the bottom-left element by multiplying the second row by the first column: 7(5) + 5(7)$.

5. Calculate the bottom-right element by multiplying the second row by the second column: 7(5) + 5(5)$.

6. Simplify the arithmetic for each position.

25+35=60

25+25=50

35+35=70

35+25=60

Final Answer

[[5,5],[7,5]]*[[5,5],[7,5]]=[[60,50],[70,60]]

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