A = np.array([[2, 1], [1, 1]])b = np.array([3, 2])x = solve(A, b)print(x)What is the solve function trying to achieve in this code snippet?
Question
What is the solve
function trying to achieve in this code snippet?
A = np.array([[2, 1], [1, 1]])
b = np.array([3, 2])
x = solve(A, b)
print(x)
Solution
The solve
function in this code snippet is used to solve a linear matrix equation, or system of linear scalar equations. It computes the "exact" solution, x
, of the well-determined, i.e., full rank, linear matrix equation Ax = b
.
Here's a step-by-step explanation:
-
A = np.array([[2, 1], [1, 1]])
- This line is creating a 2D array (or a matrix)A
with the help of numpy'sarray
function. -
b = np.array([3, 2])
- This line is creating an arrayb
. -
x = solve(A, b)
- This line is calling thesolve
function withA
andb
as arguments. Thesolve
function is a part of numpy's linear algebra module (numpy.linalg
). It takes two inputs - a square matrixA
and an arrayb
, and returns the solution of the linear matrix equationAx = b
. In other words, it's trying to find an arrayx
such that whenA
is multiplied withx
, it equalsb
. -
print(x)
- This line is printing the solution of the equation, which is stored inx
.
So, the solve
function is trying to solve the equation Ax = b
and find the values of x
.
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