1,975 Answered Questions for the topic linear algebra

Linear Algebra Eigenvalues Eigenvectors

03/27/19

How to prove that eigenvectors from different eigenvalues are linearly independent?
How can I prove that if I have $n$ eigenvectors from different eigenvalues, they are all linearly independent?
Follows • 1
Expert Answers •1
Linear Algebra Calculus

03/23/19

Let M be an n×n matrix such that M2−3M+2I is equal to 0, where I is the n×n identity matrix. Is M diagonalizable?
Follows • 1
Expert Answers •1
Linear Algebra Algebra 1

03/20/19

Five more than the quotient of a number and 4 is 7
Follows • 1
Expert Answers •1

03/19/19

How to solve Work->Break->Work pattern questions?
Machine/Person A: Works for 20 hours and take break for 4 hours (repeated cycle) Machine/Person B: Works for 40 hours and take break for 8 hours (repeated cycle) In X amount of hours ( say x is... more
Follows • 1
Expert Answers •1

03/19/19

How are we able to calculate specific numbers in the Fibonacci Sequence?
I was reading up on the Fibonacci Sequence, $\ ext {{1,1,2,3,5,8,13,....}}$ when I've noticed some were able to calculate specific numbers. So far I've only figured out creating an array and... more
Follows • 1
Expert Answers •1

03/19/19

What is the relation between rank of a matrix, its eigenvalues and eigenvectors?
I am quite confused about this. I know that zero eigenvalue means that null space has non zero dimension. And that the rank of matrix is not the whole space. But is the number of distinct... more
Follows • 1
Expert Answers •1
Linear Algebra Gre Gre Exam

03/19/19

Linear algebra book GRE Math Subject?
I am preparing for GRE Math Subject which I will take in October. Did anyone take this exam here? Please recommend some good book on abstract algebra and linear algebra. I can work out with... more
Follows • 2
Expert Answers •1

03/19/19

What are some examples of infinite dimensional vector spaces?
I would like to have some examples of infinite dimensional vector spaces that help me to break my habit of thinking of $R^n$ when thinking about vector spaces.
Follows • 1
Expert Answers •1
Linear Algebra Multivariable Calculus

03/18/19

Divergence as transpose of gradient?
In his online lectures on Computational Science, Prof. Gilbert Strang often interprets divergence as the "transpose" of the gradient, for example [here](http://youtu.be/gYME3EbIqV4?t=31m50s) (at... more
Follows • 1
Expert Answers •1
Linear Algebra Terminology

03/18/19

Why are invertible matrices called 'non-singular'?
Where in the history of linear algebra did we pick up on referring to invertible matrices as 'non-singular'? In fact, since - the null space of an invertible matrix has a *single* vector - an... more
Follows • 1
Expert Answers •1
Linear Algebra Terminology

03/16/19

What does 'linear' mean in Linear Algebra?
Why Linear Algebra named in that way? Especially, why we call it `linear`? What does it mean?
Follows • 1
Expert Answers •1
Linear Algebra Applications Matrices Big List

03/15/19

What are some applications of elementary linear algebra outside of math?
I'm TAing linear algebra next quarter, and it strikes me that I only know one example of an application I can present to my students. I'm looking for applications of elementary linear algebra... more
Follows • 1
Expert Answers •1
Linear Algebra Linear Equations

03/15/19

How do I solve the system of linear equations?
3x-3y+6z=15x-2y-z=85x-8y+13z=22If system is dependent express x, y and z in terms of parameter a
Follows • 1
Expert Answers •1
Linear Algebra Math

03/15/19

Null space of a matrix
A is a matrix which has two special solutions to Ax=0, all other solutions are linear combinations of the special solutions. They are (3,1,4,0,5) and (2,0,2,1,2). C is a matrix that is the same as... more
Follows • 1
Expert Answers •1
Linear Algebra

03/14/19

How do we calculate the determinant of a non-square matrix?
Follows • 1
Expert Answers •1
Linear Algebra

03/14/19

Union of two vector subspaces not a subspace?
I'm having a difficult time understanding this statement. Can someone please explain with a concrete example?
Follows • 2
Expert Answers •1
Linear Algebra

03/14/19

What are differences between affine space and vector space?
Follows • 1
Expert Answers •1
Linear Algebra

03/14/19

Why do we care about dual spaces?
When I first took linear algebra, we never learned about dual spaces. Today in lecture we discussed them and I understand what they are, but I don't really understand why we want to study them... more
Follows • 1
Expert Answers •1
Linear Algebra Complex Numbers

03/14/19

What is the "standard basis" for fields of complex numbers?
What is the "standard basis" for fields of complex numbers? For example, what is the standard basis for $\\Bbb C^2$ (two-tuples of the form: $(a + bi, c + di)$)? I know the standard for $\\Bbb... more
Follows • 3
Expert Answers •1
Linear Algebra

03/14/19

Looking for an intuitive explanation why the row rank is equal to the column rank for a matrix?
I am looking for an intuitive explanation as to why/how row rank of a matrix = column rank. I've read the proof at http://en.wikipedia.org/wiki/Rank_of_a_linear_transformation and I understand the... more
Follows • 1
Expert Answers •1
Linear Algebra Algebra 2 Algebra

03/04/19

please help me solve this problem below;
Consider the following system of linear equations: Find values of a, b, c such that the above system of linear equations has:(i) exactly solution; (ii) an infinite number of solution; (iii) no... more
Follows • 0
Expert Answers •1
Linear Algebra Word Problem

03/01/19

3x3 Linear equation
At Edmonds Community College freshman need to take a 100 level Math and English plus optional Philosophy course.In any quarter the college needs to make available 6 less English sections than Math... more
Follows • 1
Expert Answers •1
Linear Algebra

02/23/19

The rectangle is 3 times as long as its wide. The area is 56 metre than what is its length ??
Follows • 1
Expert Answers •1
Linear Algebra

02/22/19

Linear equations
Supply : p= S(q)= 3/4qDemand: p= D(q)=60-1/5q1)Find the equlibrium quanity2)Find the equilibrium price
Follows • 1
Expert Answers •1
Linear Algebra

02/18/19

Linear Application Problem, STUCK HELP ASAP!

Phone Charges The monthly cost C, in dollars, for calls from the United States to Germany on a certain phone plan is modeled by the function C(x) = 0.24x + 5, where x is the number of minutes used.... more
Follows • 1
Expert Answers •1

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.