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Linear Algebra Linear Transformation

05/28/19

Is there a linear transformation where the kernel has dimension 2. Is this transformation unique?

Is there a linear transformation where the kernel has dimension 2? Is it unique?

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Linear Algebra

05/25/19

What are some real-world uses of the determinant of a matrix?

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Linear Algebra

05/25/19

Why study linear algebra?

Simply as the title says. I've done some research, but still haven't arrived at an answer I am satisfied with. I know the answer varies in different fields, but in general, why would someone study... more

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Linear Algebra

05/25/19

What is the difference between linear and non linear equations?

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Linear Algebra Reference Request Soft Question Book Recommendation

05/25/19

Very good linear algebra book.?

I plan to self-study linear algebra this summer. I am sorta already familiar with vectors, vector spaces and subspaces and I am really interested in everything about matrices (diagonalization,... more

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Linear Algebra

05/25/19

Where to start learning Linear Algebra?

I'm starting a very long quest to learn about math, so that I can program games. I'm mostly a corporate developer, and it's somewhat boring and non exciting. When I began my career, I chose it... more

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Linear Algebra

05/25/19

What is the difference between a point and a vector?

I understand that a vector has direction and magnitude whereas a point doesn't. However, in the course notes that I am using, it is stated that a point is the same as a vector. Also, can you do... more

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Linear Algebra

05/25/19

What's the use of matrices in real life?

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Linear Algebra Functions Axiom Of Choice

05/25/19

What is a basis for the vector space of continuous functions?

A natural vector space is the set of continuous functions on $\\mathbb{R}$. Is there a nice basis for this vector space? Or is this one of those situations where we're guaranteed a basis by... more

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Linear Algebra Linear Equations

05/24/19

Linear equation question

You are moving and need a rental truck. The rental company you have chosen charges a $70/day fee plus $0.20 for every mile you travel. Write a linear equation that expresses the total cost y, where... more

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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

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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

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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

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Linear Algebra

05/23/19

Show that every matrix X in M(nn) has the form X=A^t-2A for some matrix A in M(nn). Hint: Use the Dimension Theorem.

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Linear Algebra Computer Science

05/22/19

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

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Linear Algebra Computer Science

05/22/19

Find a recursive and a non-recursive definition for the sequence: 3, 4, 13, 14, 23, 24, …

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Linear Algebra Polynomials Matrices Eigenvalues Eigenvectors

05/22/19

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

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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.

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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

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Linear Algebra Linear Equations

05/21/19

A System of equations is given below y=-3x+6 and y=6-3x which of the following statements best describes the two lines?

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Linear Algebra Algebra

05/21/19

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

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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

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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

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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

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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

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Answers •1

Is there a linear transformation where the kernel has dimension 2. Is this transformation unique?

What are some real-world uses of the determinant of a matrix?

Why study linear algebra?

What is the difference between linear and non linear equations?

Very good linear algebra book.?

Where to start learning Linear Algebra?

What is the difference between a point and a vector?

What's the use of matrices in real life?

What is a basis for the vector space of continuous functions?

Linear equation question

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

What exactly are eigen-things?

Linear equation in two variables

Show that every matrix X in M(nn) has the form X=A^t-2A for some matrix A in M(nn). Hint: Use the Dimension Theorem.

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

Find a recursive and a non-recursive definition for the sequence: 3, 4, 13, 14, 23, 24, …

Minimal polynomials and characteristic polynomials?

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

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

A System of equations is given below y=-3x+6 and y=6-3x which of the following statements best describes the two lines?

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

How do I exactly project a vector onto a subspace?

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

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

linear equation

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