1,954 Answered Questions for the topic linear algebra

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?
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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
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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
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Linear Algebra

05/14/19

One Number is three less than a second number twice the second number is two less and four times the first find the two numbers
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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?
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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 ...
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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
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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?
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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
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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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Linear Algebra Soft Question

05/05/19

Is linear algebra laying the foundation for something important?
I'm majoring in mathematics and currently enrolled in Linear Algebra. It's very different, but I like it (I think). My question is this: What doors does this course open? (I saw a post about Linear... more
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Linear Algebra Linear Equations

05/02/19

find two points on the graph of the parabola other than the vertex and x-intercept

r(x)=-x^2+2x , i need help to see what points are going through this without using the stuff(what i mentioned in my question) my vertex is (1,1) and the x-intercepsts is (2,0),(0,0) . What are two... more
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05/02/19

Must eigenvalues be numbers?
This is more a conceptual question than any other kind. As far as I know, one can define matrices over arbitrary fields, and so do linear algebra in different settings than in the typical... more
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Linear Algebra

04/30/19

Solve the system of equations using the elimination method
-3x+4y=12 2x+y=-8
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Linear Algebra Linear Equations

04/30/19

mixture math problem
A chemical company makes two brands of antifreeze. The first brand is 35% pure antifreeze, and the second brand is 85% pure antifreeze. In order to obtain 60 gallons of a mixture that contains 45%... more
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Linear Algebra

04/28/19

Is there a quick proof as to why the vector space of $\\mathbb{R}$ over $\\mathbb{Q}$ is infinite-dimensional?
It would seem that one way of proving this would be to show the existence of non-algebraic numbers. Is there a simpler way to show this?
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Linear Algebra

04/28/19

Why do we use the word "scalar" and not "number" in Linear Algebra?
During a year and half of studying Linear Algebra in academy, I have never questioned why we use the word "scalar" and not "number". When I started the course our professor said we would use... more
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04/26/19

Probability of phone numbers
I am having trouble figuring out how to solve this. Would you be able to help me?Local phone numbers consist of seven numerals, the first three of which are common to many users. A small town's... more
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04/25/19

i need help learning how to write a linear equation that represents the area and perimeter of a rectangle.
the lesson sheet they gave us shows the short side of the rectangle as (3x-3)cm and the long side as 6 cm however in class they did not specify on how we must write a linear equation using this... more
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Linear Algebra Linear Equations

04/25/19

Determine where the two lines y = 3x – 5 and 2x – 4y = 10 intersect

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04/24/19

Can one factor matrices?
I know that one can factor integers as a product of prime numbers. Is there an analog of it to matrices? Can we define prime matrices such that every matrix is a product of prime matrices? Is there... more
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Linear Algebra Algebra 1 Algebra 2 Calculus

04/23/19

What is the range of the function defined by f(x)=x+2/x
√What is the range of the function defined by f(x)=x+2/x :a) [2,+∞)b) (-∞,-2√2)∪(2√2,+∞)c) (-∞,+∞)d)( -∞,1)∪(1,+∞)please explain how to find range
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04/22/19

Math problem growth
A cell divides in 2 every 20 minutes (doubles every 20 mins). How many cells will be there in 24hrs?
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Linear Algebra Inner Product Space

04/22/19

difference between dot product and inner product?
I was wondering if a dot product is technically a term used when discussing the product of $2$ vectors is equal to $0$. And would anyone agree that an inner product is a term used when discussing... more
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04/20/19

orthogonal eigenvectors?
I have a very simple question that can be stated without proof. Are all eigenvectors, of any matrix, always orthogonal? I am trying to understand Principal components and it is cruucial for me to... more
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