1,975 Answered Questions for the topic linear algebra

Linear Algebra Liniar Equations

05/23/19

Food X is 28% protein and 72% carbohydrate, whereas food Y is 72% protein and 28% carbohydrate.

Scientific studies suggest that some animals regulate their intake of different types of food available in the environment to achieve a balance between the proportion, and ultimately the total... more
Linear Algebra

05/23/19

What exactly are eigen-things?

[Wikipedia](http://en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors) defines an eigenvector like this: *An eigenvector of a square matrix is a non-zero vector that, when multiplied by the... more
Linear Algebra Linear Equations

05/23/19

Linear equation in two variables

The greater of two exceeds the smaller by 18. Twice the smaller number added to the greater numbers makes 42 find the number
Linear Algebra Computer Science

05/22/19

Use the axioms of Boolean algebra to prove the complement law 0’ =1

Minimal polynomials and characteristic polynomials?

I am trying to understand the similarities and differences between the minimal polynomial and characteristic polynomial of Matrices. 1. When are the minimal polynomial and characteristic... more
Linear Algebra

05/22/19

Proof that the Trace of a Matrix is the sum of its Eigenvalues?

I have looked extensively for a proof on the internet but all of them were too obscure. I would appreciate if someone could lay out a simple proof for this important result. Thank you.
Linear Algebra Matrices Transpose Matrix Rank

05/22/19

Is the rank of a matrix the same of its transpose? If yes, how can I prove it?

I am auditing a Linear Algebra class, and today we were taught about the rank of a matrix. The definition was given from the row point of view: > "The rank of a matrix A is the number > of... more
Linear Algebra Algebra

05/21/19

What is linear algebra, and when do I have to use it?

Linear Algebra Matrices Signal Processing

05/20/19

How do I exactly project a vector onto a subspace?

I am trying to understand how - exactly - I go about projecting a vector onto a subspace. Now, I know enough about linear algebra to know about projections, dot products, spans, etc etc, so I am... more
Linear Algebra

05/19/19

Why does Friedberg say that the role of the determinant is less central than in former times?

I am taking a proof-based introductory course to Linear Algebra as an undergrad student of Mathematics and Computer Science. The author of my textbook (Friedberg's *Linear Algebra*, 4th Edition)... more
Linear Algebra Linear Equations

05/18/19

Determine the value of k for which the system of linear equation has infinitely many solutions. Then find all solutions corresponding to this value of K

8x+9y=72x+ky=9Determine the value of k for which the system of linear equation has infinitely many solutions. Then find all solutions corresponding to this value of K
Linear Algebra Linear Function

05/17/19

linear equation

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When graphed, the function gives a line... more
Linear Algebra Inequalities

05/17/19

How to write this as an inequality: Across total ticket sales, there cannot be more than three children's tickets sold for every adult ticket sold.

Linear programmingNumber of adult tickets sold = xNumber of child tickets sold = yTotal ticket sales is <= 300Is x<= 3y correct?
Linear Algebra Linear Equations

05/16/19

Gauss Jordan equations

Please help me find the correct equations to use gauss Jordan eliminationyiu must makes 500g bowl of food which contains 100g protein and 1200 calories for each 100g serve the ingredients have the... more
Linear Algebra Linear Equations

05/15/19

Im not good with word problems so i explained completely in description

If I make 6% in straight commission and offered another job that pays $230 per week plus 4% of the sales. How much will I have to sell in a week in order for the straight commission offer to be at... more

05/13/19

Is basis change ever useful in practical linear algebra?

In layman's terms, why would anyone ever want to change basis? Do eigenvalues have to do with changing basis?
Linear Algebra Math

05/11/19

I have a question about how to find a basis for a subspace in (Linear Algebra) ,like how to find a basis for the kernel?And how to find a basis for the range?

Or finding a basis for any subspace , like .... can I find a basis for any subspace or does it have some kinda conditions ? It's really confusing me ...
Linear Algebra Matrices Random Matrices

05/10/19

If I generate a random matrix what is the probability of it to be singular?

Just a random question which came to my mind while watching a linear algebra lecture online. The lecturer said that MATLAB always generates non-singular matrices. I wish to know that in the space... more
Linear Algebra

05/08/19

The diagonal of a rectangular pen is 40 feet. The width of the pen is 7 feet less than the length. Find the length of the pen.

The diagonal of a rectangular pen is 40 feet. The width of the pen is 7 feet less than the length. Find the length of the pen. How long is the pen in feet?
Linear Algebra Terminology

05/06/19

What does "isomorphic" mean in linear algebra?

My professor keeps mentioning the word "isomorphic" in class, but has yet to define it... I've asked him and his response is that something that is isomorphic to something else means that they have... more
Linear Algebra Linear Equations

05/06/19

how to write an equation in the form p=mx+b that relates price to number of phones sold

A wireless franchise determines that if it sells the iphone 5 for the list price of p=$649, it can sell x=100 phones. They find if they lower the price to p=$629, they can sell x=140 phones.... more

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