Quiz: Solve Equations with Python

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(:title Quiz: Solve Equations with Python:) (:keywords quiz, test, Python, plot, linear, nonlinear, solve, equations, introduction, course:) (:description Learning assessment on solving linear and nonlinear equations with Python.:)

1. What is the solution to the following linear system of equations?

$$A x = b$$

where A is a matrix and b is a vector (both known) with vector x unknown.

A. `A=bx^T`

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Incorrect.

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B. `x=A^{-1}b`

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Correct.

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C. `x=A^Tb`

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Incorrect.

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D. `x=b`

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Incorrect.

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2. What is a possible function to solve `x=A^{-1}b` in Python?

A. numpy.array()

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Incorrect. The array function builds a Numpy array.

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B. numpy.solve()

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Incorrect. The solve function is in the linear algebra linalg package that is contained in numpy.

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C. numpy.linalg.solve()

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Correct. Another potential strategy to solve the linear equations is with numpy.dot(numpy.linalg.inv(A),b).

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D. None of the above

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Incorrect.

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3. It is important to distinguish between linear and nonlinear equations to know which solution strategy to use. Select the equation that is nonlinear.

A. `10^2x+(15y+3)=10`

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Incorrect.

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B. `2x+3y=\sqrt{5}`

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Incorrect.

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C. `5x^2+3y+2=0`

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