Newest linear algebra Questions | Wyzant Ask An Expert

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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Linear Algebra Linear Equations Simultaneous Equations

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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Answers •2

Linear Algebra Matrices Eigenvalues Eigenvectors

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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Linear Algebra Physics Self Learning Ordinary Differential Equations

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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Linear Algebra Math Inequalities Linear Equations

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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Linear Algebra Matrices Self Learning Determinant

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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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?

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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?

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Answers •1

Linear Algebra Algebra 1

03/20/19

Five more than the quotient of a number and 4 is 7

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Answers •1

Linear Algebra Gre Least Common Multiple Gre Exam

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

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Linear Algebra Combinatorics Fibonacci Numbers Generating Functions

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

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Answers •1

Linear Algebra Eigenvalues Eigenvectors Matrix Rank

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

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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

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Linear Algebra Vector Spaces Functional Analysis Examples Counterexamples

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.

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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

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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

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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?

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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

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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

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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

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Linear Algebra

03/14/19

How do we calculate the determinant of a non-square matrix?

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For what mileages will Company a charge less than company b?

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.

Help me please!!!!!!

Algebra Distance/Speed/Time

Do all square matrices have eigenvectors?

Why learn to solve differential equations when computers can do it?

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.

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?

Use of determinants?

What are eigenvalues?

How to prove that eigenvectors from different eigenvalues are linearly independent?

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?

Five more than the quotient of a number and 4 is 7

How to solve Work->Break->Work pattern questions?

How are we able to calculate specific numbers in the Fibonacci Sequence?

What is the relation between rank of a matrix, its eigenvalues and eigenvectors?

Linear algebra book GRE Math Subject?

What are some examples of infinite dimensional vector spaces?

Divergence as transpose of gradient?

Why are invertible matrices called 'non-singular'?

What does 'linear' mean in Linear Algebra?

What are some applications of elementary linear algebra outside of math?

How do I solve the system of linear equations?

Null space of a matrix

How do we calculate the determinant of a non-square matrix?

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