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Linear Algebra
Linear algebra is the detailed study of vector spaces. With applications in such disparate fields as sociology, economics, computer programming, chemistry, and physics, including its essential role in mathematically describing quantum mechanics and the theory of relativity, linear algebra has become one of the most essential mathematical disciplines for the modern world. Please direct all questions regarding matrices, determinants, eigenvalues, eigenvectors, and linear transformations into this category.
2,176 Questions
What are all the negative non integers that have a product of 20?
There are infinite number of negative non integers that have a product of 20. Any two negative fractions can make a product of 20. e.g.
-3/20 * -800/6 = 20
-3/8 * -320/6 = 20
-9/7 * -140/9 = 20
The list is endless. Only make sure you select both negative fractions to get a positive 20 and when selecting the fractions the numerator of one number is divisible by the other number's denominator such that the factors cancel to give 20.
You can have any number of free variables. If you have m variables and n linear equations then, if m > n, you will have at least (m - n) free variables.
How do you write the equation of a line that passes thought the point -5 and 1 and has a slope of 2?
It is: y-1 = 2(x--5)
so: y = 2x+11
What type of solutions do you get when system is nontrivial and when it is trivial?
I want to Know the Answer
How do you convert m-2 x-3 y9 to Ax Byc form?
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals".
How do you find the dimensions of an 84 inch traffic sign?
One dimension is 84 inches.
For the others, you would need to measure the sign.
How do you convert clothe size to sq ft?
It depends upon the type of clothing and style, so there's no one formula. For any one type of clothing, I suppose you could measure the square footage of each size and do a linear regression to obtain an equation.
What would the world be like without pi?
The Physical world does not depend on Humans or the sciences to exist. Without the understanding of sciences (or mathematics) the infrastructure that Humans have built would not exist as it does today. If we had not grasped the "Concept" of Pi, then anything built utilizing a Circle or part of a circle (Arc) would have to be constructed via trial and error. All Circle related things would be very difficult to predict or understand...such as planetary orbits, etc.
What is meant by an anholonomic space and an idempotent vector?
An anholonomic space, more commonly referred to as a nonholonomic space, is simply a path-dependent space.
For example, if I went to the kitchen to get a snack, I know that, regardless of what path I take to get back to my room, I will get back to my room. I could have gone outside, on the roof, to a liquor store, or wherever, but the ultimate result from adding up all those paths is that I'll be back in my room. That is because I'm in a holonomic space, or a path-independentspace. Now, if after traveling to all those locations I came back to what I thought should be my room, but instead found myself at, say, the beach, I would be in an anholonomic space, where my destination changes depending on my path taken, ie. my destination is path-dependent.
An idempotent vector doesn't really have any meaning since the concept of idempotence applies to operations. The term idempotence basically just means something that can be applied to something else over and over again without changing it, like adding zero to a real number or multiplying that number by one. That's why a vector, in and of itself, can't be idempotent. However, multiplyinga unit basis vector, ie. one that wouldn't change the magnitude or direction of another vector, to another vector would be an idemtopic operation in a vector space.
Which branch of math must you know really well if you want to be an accountant?
An accountant uses multiplication and adding.
Also includes subtraction, division, and sometimes basic algebra.
Which linear equation shows the amount earned A for babysitting h hours?
Using the ol' y=mx+c formula, we get: A = (hourly wage)h + (cost for hiring)
How can you tell linear equations are parallel?
Equations are never parallel, but their graphs may be.
-- Write both equations in "standard" form [ y = mx + b ]
-- The graphs of the two equations are parallel if 'm' is the same number in both of them.
When your date asks you how much you think she weighs.
How do you determine which region to shade to indicate the solution set of a system linear equation?
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What is x plus 5 plus 2y plus 4x-2?
Wat is a Buddhist temple in South East Asia and has nothing to do with x plus 5 plus 2y plus 4x -2.
Incidentally, the algebraic expression is equal to 5x + 3 + 2y.
How many ways can you use quarters and dimes to create an amount equal to 20?
If you mean 20 cents, there is exactly one way.
What is the different between algebra and linear algebra?
Linear algebra is restricted to a limited set of transformations whereas algebra, in general, is not. The restriction imposes restrictions on what can be a linear transformation and this gives the family of linear transformations a special mathematical structure.
