Fdtxjr

Rationale to prefer local variables over instance variables?

What stops an assembly program from crashing the operating system?

Determining optimum shared school bus route to a single destination from multiple origin points

I can't die. Who am I?

Windows Server Datacenter Edition - Unlimited Virtual Machines

When a wind turbine does not produce enough electricity how does the power company compensate for the loss?

What would be the most expensive material to an intergalactic society?

Would an aboleth's Phantasmal Force lair action be affected by Counterspell, Dispel Magic, and/or Slow?

Power Strip for Europe

Why restrict private health insurance?

Shifting between bemols (flats) and diesis (sharps)in the key signature

What is better: yes / no radio, or simple checkbox?

Street obstacles in New Zealand

How exactly does an Ethernet collision happen in the cable, since nodes use different circuits for Tx and Rx?

Has a sovereign Communist government ever run, and conceded loss, on a fair election?

Specifying a starting column with colortbl package and xcolor

How to check whether module is loaded with custom configurations?

Can't make sense of a paragraph from Lovecraft

Having the player face themselves after the mid-game

Recommendation letter by significant other if you worked with them professionally?

How can I get players to focus on the story aspect of D&D?

How many characters using PHB rules does it take to be able to have access to any PHB spell at the start of an adventuring day?

Is it a Cyclops number? "Nobody" knows!

How does Ehrenfest's theorem apply to the quantum harmonic oscillator?

What does it mean when a matrix has functions as elements and not scalars?

Operator that mantains unit vectorWhat does this matrix notation mean?What does it mean to have more than one eigen value?What do the columns of a rectangular matrix mean?Clarifying my understanding of Linear AlgebraQuestion regarding the intuitive, visual interpretation of matrix multiplicationIs there a relationship between a matrix of vectors and a matrix of equations?What does a cyclic difference matrix mean?What does it mean geometrically to add two matrices?What kind of matrices can be visualized by graphing the column vectors?

0

$begingroup$

As far as I understand, the matrix

$$
beginbmatrix
1 & 2 & 3 \
4 & 5 & 6 \
7 & 8 & 9 \
endbmatrix
$$

refers to a linear transformation of the unit vectors in 3D space, where the $hati$ unit vector is mapped to

$$
beginbmatrix
1 \
4 \
7 \
endbmatrix
$$

the $hatj$ unit vector is mapped to

$$
beginbmatrix
2 \
5 \
8 \
endbmatrix
$$

and the $hatk$ unit vector is mapped to

$$
beginbmatrix
3 \
6 \
9 \
endbmatrix
$$

So, what does it mean when a matrix consists of functions and not scalars, such as this

$$
beginbmatrix
x & x^2 & x^3 \
y & y^2 & y^3 \
z & z^2 & z^3 \
endbmatrix
$$

What kind of transformation/mapping occurs for the unit vectors?

matrices

share|cite|improve this question

asked yesterday

lettuceconquerlettuceconquer

11

New contributor

lettuceconquer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

0

$begingroup$

As far as I understand, the matrix

$$
beginbmatrix
1 & 2 & 3 \
4 & 5 & 6 \
7 & 8 & 9 \
endbmatrix
$$

refers to a linear transformation of the unit vectors in 3D space, where the $hati$ unit vector is mapped to

$$
beginbmatrix
1 \
4 \
7 \
endbmatrix
$$

the $hatj$ unit vector is mapped to

$$
beginbmatrix
2 \
5 \
8 \
endbmatrix
$$

and the $hatk$ unit vector is mapped to

$$
beginbmatrix
3 \
6 \
9 \
endbmatrix
$$

So, what does it mean when a matrix consists of functions and not scalars, such as this

$$
beginbmatrix
x & x^2 & x^3 \
y & y^2 & y^3 \
z & z^2 & z^3 \
endbmatrix
$$

What kind of transformation/mapping occurs for the unit vectors?

matrices

share|cite|improve this question

asked yesterday

lettuceconquerlettuceconquer

11

New contributor

lettuceconquer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

add a comment | 

$begingroup$

As far as I understand, the matrix

$$
beginbmatrix
1 & 2 & 3 \
4 & 5 & 6 \
7 & 8 & 9 \
endbmatrix
$$

refers to a linear transformation of the unit vectors in 3D space, where the $hati$ unit vector is mapped to

$$
beginbmatrix
1 \
4 \
7 \
endbmatrix
$$

the $hatj$ unit vector is mapped to

$$
beginbmatrix
2 \
5 \
8 \
endbmatrix
$$

and the $hatk$ unit vector is mapped to

$$
beginbmatrix
3 \
6 \
9 \
endbmatrix
$$

So, what does it mean when a matrix consists of functions and not scalars, such as this

$$
beginbmatrix
x & x^2 & x^3 \
y & y^2 & y^3 \
z & z^2 & z^3 \
endbmatrix
$$

What kind of transformation/mapping occurs for the unit vectors?

matrices

share|cite|improve this question

asked yesterday

lettuceconquerlettuceconquer

11

New contributor

lettuceconquer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

$endgroup$

share|cite|improve this question

asked yesterday

lettuceconquerlettuceconquer

11

New contributor

lettuceconquer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this question

asked yesterday

lettuceconquerlettuceconquer

11

New contributor

lettuceconquer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked yesterday

lettuceconquerlettuceconquer

11

New contributor

lettuceconquer is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

asked yesterday

lettuceconquerlettuceconquer

11