Quiz: Solve 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`

Incorrect.

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

Correct.

C. `x=A^Tb`

Incorrect.

D. `x=b`

Incorrect.

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

A. numpy.array()

Incorrect. The array function builds a Numpy array.

B. numpy.solve()

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

C. numpy.linalg.solve()

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

D. None of the above

Incorrect.

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`

Incorrect.

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

Incorrect.

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

Correct.