Show that the decision boundary is a vector space, Civil Engineering

Show that the decision boundary is a vector space

Consider a perceptron network, with the following weights and bias.

i. Write out the equation for the decision boundary.

ii. Show that the decision boundary is a vector space. (Demonstrate that the 10 criteria are satisfied for any point on the boundary.)

iii. What is the dimension of the vector space?

iv. Find a basis set for the vector space.

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Civil Engineering: Show that the decision boundary is a vector space

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Civil Engineering: Show that the decision boundary is a vector space

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