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Algebra helps solve the mathematical equations and allows to derive unknown quantities, like the bank interest, proportions, percentages. We can use the variables in the algebra to represent the unknown quantities that are coupled in such a way as to rewrite the equations. ...
I am currently trying to self-study linear algebra. I've noticed that a lot of the definitions for terms (like eigenvectors, characteristic polynomials, determinants, and so on) require a square matrix instead of just any real-valued matrix. For example, Wolfram has this in its definition of...
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are these square matrices always diagonalisable? ask question asked 5 years, 5 months ago modified 5 years, 3 months ago viewed 2k times 14 when trying to solve a physics problem on decoupling a system of odes, i found myself needing to address the following problem: let a n ∈ m n ...
This repositary is a combination of different resources lying scattered all over the internet. The reason for making such an repositary is to combine all the valuable resources in a sequential manner, so that it helps every beginners who are in a search
returns True if the factors are square free. >>> is_square_free([1, 1, 2, 3, 4]) False These are wrong but should return some value it simply checks for repetition in the numbers. >>> is_square_free([1, 3, 4, 'sd', 0.0]) True >>> is_square_free([1, 0.5, 2, 0.0])...
Instead, decompose A. For example, you might decide to compute a QR factorization for A. Or perhaps an LU. Even then, the condition number of A is large enough that when you do two solves, it still inflates any noise in the system by the SQUARE ...
What is factoring in algebra? Factoring is the process by which one tries to make a mathematical expression look like a multiplication problem by looking for factors. Basically, factoring reverses the multiplication process. Factoring can be as easy as looking for 2 numbers to multiply to get ...