The NumPy module also comes with a number of built-in routines for linear algebra calculations. These can be found in the sub-module linalg.
The linalg.det tool computes the determinant of an array.
print numpy.linalg.det([[1 , 2], [2, 1]]) #Output : -3.0 The linalg.eig computes the eigenvalues and right eigenvectors of a square array.
vals, vecs = numpy.linalg.eig([[1 , 2], [2, 1]]) print vals #Output : [ 3. -1.] print vecs #Output : [[ 0.70710678 -0.70710678] # [ 0.70710678 0.70710678]] The linalg.inv tool computes the (multiplicative) inverse of a matrix.
print numpy.linalg.inv([[1 , 2], [2, 1]]) #Output : [[-0.33333333 0.66666667] # [ 0.66666667 -0.33333333]] Other routines can be found here
Task
You are given a square matrix with dimensions X. Your task is to find the determinant. Note: Round the answer to 2 places after the decimal.
Input Format
The first line contains the integer .
The next lines contains the space separated elements of array .
Output Format
Print the determinant of .
Sample Input
2 1.1 1.1 1.1 1.1 Sample Output
0.0