1,975 Answered Questions for the topic linear algebra

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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Linear Algebra Linear Inequalities

04/19/19

For what mileages will Company a charge less than company b?
company a charges $131 and allows unlimited mileage. Company b has an initial fee of $75 and charges an additional $.70 for every mile driven.
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04/17/19

Three kilograms of jam and two kilograms of butter cost $29 and six kilograms of jam and three kilograms of butter cost $54. Find the cost of one kilogram of jam and one kilogram of butter.

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Linear Algebra Algebra 1 Algebra 2

04/16/19

Help me please!!!!!!
A chemist has three different acid solutions.The first solution contains 15% acid, the second contains 25% acid, and the third contains 55% acid.She created 60 liters of a 30% acid mixture, using... more
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Linear Algebra Algebra 1 Algebra 2

04/13/19

Algebra Distance/Speed/Time
Mario’s speed on his bicycle is 6 km/hr faster than he walks. To go to the mall by bicycle takes him 12 minutes, but takes 30 minutes if he walks. How far is it to the mall?
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04/12/19

Do all square matrices have eigenvectors?
I came across a video lecture in which the professor stated that there may or may not be any eigenvectors for a given linear transformation. And, so far I thought every matrix has eigenvectors.... more
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04/11/19

Why learn to solve differential equations when computers can do it?
I'm getting started learning engineering math. I'm really interested in physics especially quantum mechanics, and I'm coming from a strong CS background. One question is haunting me. Why do I... more
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04/02/19

Jane purchases 20 candles for her family members. Tall candles cost $6 each and short candles cost $4 each. She spends a total of $100.

Part A: Jane is buying X tall candles and Y short candles. Which system of equations can be used to find the value of x and y.Part B; how many tall candles did Jane buy/?
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Linear Algebra Math Algebra 1 Algebra 2

04/01/19

What are the coordinates of the image of the point (-4, 3) after a rotation of 90 degrees counterclockwise around the origin followed by a translation of 1 unit down and 1 unit left?
A: (2,3)B: (-4,-5)C: (-3,-4)D: (-3,4)
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03/30/19

Use of determinants?
I have been teaching myself maths (primarily calculus) throughout this and last year, and was stumped with the use of determinants. In the math textbooks I have, they simply show how to compute a... more
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Linear Algebra

03/27/19

What are eigenvalues?
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