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Home » linear-algebra

Tag: linear-algebra

Finding diameter of a graph using linear algebra or BFS

C++ April 1, 2021

I got homework from school saying I need to find the diameter of a graph in CPP. The problem is I need to do it for 5000 graphs with 1000 vertices each. To save my graph I used vector of vectors like …

Why Numpy and Scipy QR decomposition give me different values?

Python March 8, 2021

I have the following vector. x = np.array([[ 0.87695113], [ 0.3284933 ], [-0.35078323]]) When I call numpy version of qr from numpy.linalg import qr as qr_numpy qr_numpy(x)…

Consider the mapping $Q: M_n(mathbb R) rightarrow M_n(mathbb R)$ given by $Q(A) = A^2 + A – I_n$. How to determine $Q$ is smooth?

Mathematics Real Analysis February 25, 2015

Consider the mapping $Q: M_n(mathbb R) rightarrow M_n(mathbb R)$ given by $Q(A) = A^2 + A – I_n$ (Mapping real $n$-dimensional matrices to real $n$-dimensional matrices). How is it possible given …

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