Simplify the Matrix

Problem

[[0.06*(49),−0.01*(49),0.07*(49)],[−0.09*(−3),0.15*(−3),0.08*(−3)],[0.03*(96),0.28*(96),0.02*(96)]]

Solution

1. Calculate the first row by multiplying each decimal by 49

0.06⋅49=2.94

−0.01⋅49=−0.49

0.07⋅49=3.43

2. Calculate the second row by multiplying each decimal by −3

−0.09⋅−3=0.27

0.15⋅−3=−0.45

0.08⋅−3=−0.24

3. Calculate the third row by multiplying each decimal by 96

0.03⋅96=2.88

0.28⋅96=26.88

0.02⋅96=1.92

4. Assemble the results into the simplified matrix format.

Final Answer

[[0.06*(49),−0.01*(49),0.07*(49)],[−0.09*(−3),0.15*(−3),0.08*(−3)],[0.03*(96),0.28*(96),0.02*(96)]]=[[2.94,−0.49,3.43],[0.27,−0.45,−0.24],[2.88,26.88,1.92]]

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