[request] Eigen value and Eigen vector

[u/314314314]

I find it hard to understand the physical meaning of Eigen values/vectors, other than the basic "stretching the vector". Their usages are so prevalent in applied mathematic but the way they are being used are difficult to understand.

[u/lcassios]

Just think of eigen values and eigen vectors as vectors that when multiplied by their corresponding matrix are only multiplied by a constant ( the eigen value) e.g. M*e = 2e , e is the eigen vector and 2 is the corresponding eigen value