Questions tagged [Linear algebra] (46)

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What is the analogue of Newton's method for multidimensional space?

There is a Newton's method for finding zero of the function: x -> x-y/y' and the method of gradient descent for finding the minimum of function: x -> x - a*gradx. Can they "cross" and get a more optimal version of gradient descent, e.g. the formula x -> x - a*y*gradx/(|gradx|^2)? If Yes, then how to do it properly?...
celestino.Durg asked April 16th 20 at 11:16
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Where in the real world can meet a symmetric matrix?

Please give some example of the use of symmetric matrices in the real world. In addition to the multiplication tables. Thank you)
reggie_Terry asked April 7th 20 at 15:18
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Algebra mathematics: English literature?

Friends, asking for a little help. Can you please recommend a good English textbooks on algebra and mathematical analysis, which would have covered the knowledge from the very basics, because I feel the lack of fundamental knowledge in this area. At the moment, I found a few books with a good rating: 1. College Algebra, by...
Sister_Greenfelder asked April 7th 20 at 11:19
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Learning Data Science?

There is interest in the field of machine learning and data science. Decided to start with linear algebra, and python. Actually questions: 1. How much time per day to devote to linear algebra and how to study independently? At the moment I spend on linear algebra 2—3h. in a day and the result do not watch. Have the book by ...
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The basis of the 4-dimensional space?

I think I can not understand . If we have a basis of 4-dimensional space have the right to say that if we have a 3-dimensional subspace we can Express any 3-dimensional vector using the basis of our 4-dimensional space ? (like if the 4-coordinate 0 , it's still a vector 3-dimensional space ?)
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How to find the main argument of a complex number?

Hello! For finding the argument of a complex number, I use the formula: cos ϕ = x / √ (x^2 + y^2), sin ϕ = y / √ (x^2 + y^2) for real and imaginary part of the number, and then get the values of ϕ. Example: z = -1 cos ϕ = 0, ϕ= π/2 + πn sin ϕ = -1, -π/2 + 2πn However, the textbook answer: arg(-1 )= π The main argument is on...
Ceasar_Pauc asked March 31st 20 at 21:12
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What is the optimal algorithm for finding the Minkowski sum?

Welcome! In General, the subject. Need to find a lot and often. Now use integrated ClippingLib but for 300 points considers the order of 4 seconds - a very long time. Given: Polygons not semiprecious, convex and not convex. In addition to the algorithm in the English Wikipedia found another description of this here: Find t...
genevieve_Stamm asked March 31st 20 at 20:38
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How to write a translation function to translate the values of one scale to another?

There is a range of values from 0.0 to 1.0, relatively basic scale of values (the subject is the engine speed). Need values from this range to convert to values of the other scales, which is known 2 the values corresponding to the values underlying the scale 0.0, 0.2 and 1.0. Need a function which will calculate all interme...
Andre.Pfannerstill asked March 31st 20 at 15:55
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Why are these vectors linearly dependent?

Trying to prove Consider the determinant in MatLab a=[1 3 -1; 2 -1 5; -1 1 -3] det(a) Turns 0. So the only option is to X Y and Z were equal to 0 simultaneously, then the 3 vectors are not linearly dependent, and hence not coplanar.
buddy25 asked March 30th 20 at 01:24
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The determinant of a matrix as a sum of determinants?

Suppose there is a matrix nx2, where n is always even. Can we consider determinants of matrices 2x2, and then put them - resulting in the determinant of the original matrix?
liam.Yost88 asked March 29th 20 at 21:33