Write as a Vector Equality y=2.0+0.9x-0.30x^2 , x=0.6

Problem

y=2.0+0.9*x−0.30*x2,x=0.6

Solution

1. Identify the components of the vector equation by defining the variable vector and the coefficient vector.

2. Define the vector of terms involving x as x=[[1],[x],[x2]]

3. Define the vector of coefficients as w=[[2.0],[0.9],[−0.30]]

4. Express the scalar equation as the dot product of the coefficient vector and the variable vector, such that y=w⋅x

5. Substitute the specific value x=0.6 into the variable vector to complete the equality.

Final Answer

y=[[2.0,0.9,−0.30]]*[[1],[0.6],[0.6]]

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