## How do I factor a vector out of a matrix...

Hey guys,

I have this (6x1) matrix:

And I wish to factor a vector of the recurring terms out of it, this particular vector:

So that I end up with a (6x6) Matrix multiplied to that vector.

Thank you

## Elementwise matrix multiplication fails. Why?...

Consider the following code:

```LM := [
Matrix([[1,2],[3,4]]),
Matrix([[5,6],[7,8]])
];
A := Matrix([[0,1],[1,0]]);
map(x -> A . x,LM);
A .~ LM;```

where LM is a list of two matrices (just a test example), and A is some (test)matrix that I want to multiply onto each of these two matrices from the left, say. The map-construction works, as expected, but the elementwise operation .~ produces an error. Why?

## Adding a function to a matrix...

Hello, im a total begineer with maple and i need help defining a matrix, i need to get this into a matrix

anyone knows how could i put this in a matriz of n x 1?   (the one thats only a column)

any help would be greatly appreciated

## Writing a procedure for a matrix...

Hello I was trying to manipulate maple to write a procedure checking a matrix , say A with n rows and n columns. That matrix A given any row/column the sum of the entries for every row and column are equal. For example matrix [(-1,2)(2,-1)], every row and column in this matrix sums to 1. The entries in the matrix can be any real number.

## block matrix from non-square matrix...

Hi

I would like to extract the Anew matrix from the old matrix A. such that each row from Anew matrix has a square form of old matrix i.e all number from each row in the Anew form a square in my old matrix A ...

Is there any loop to determie  the Anew matrix in general  case

Such that A new

A := Matrix([[1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [11, 12, 13, 14, 15, 16, 17, 18, 19, 20], [21, 22, 23, 24, 25, 26, 27, 28, 29, 30], [31, 32, 33, 34, 35, 36, 37, 38, 39, 40], [41, 42, 43, 44, 45, 46, 47, 48, 49, 50]])

Anew = Matrix([[2, 13, 22, 11], [4, 15, 24, 13], [6, 17, 26, 15], [8, 19, 28, 17], [13, 24, 33, 22], [15, 26, 35, 24], [17, 28, 37, 26], [19, 30, 39, 28], [24, 35, 44, 33], [26, 37, 46, 35], [28, 39, 48, 37]])

Many thanks

## how can i construct this matrix with maple?...

all
I would like to construct a matrix with condtion that comes in picture
How can i do this with maple????
my matrix is n+1*n+1

## How to display Matrixes side by side?...

Hey,

I'm doing a little experimenting on Maple and I want to display 3 Matrixes side by side with text explaining what is what. I have a for cycle in which 5 sets of 3 matrixes are made. And my goal is to display each of the 5 sets.
How would I go about doing that? I've tried the following:

display(Array(print(cat("Matriz A", k, AA[k])), print(cat("Matriz B", k, BB[k])), print(cat("Matriz D", k, DD[k]))))

But with this I end up getting this instead of what I want:

http://i.imgur.com/p087Upr.png

Any ideas are welcome, thanks in advance.

Rafael.

## The code that I writed is right?...

Hello,

I have a optimization question in the following picture.

Question: find matrix T(t).

I writed a maple code. Could you view it ? You think that it is right?

The code file I writed: maple_code_of_theory.mw

It is really very important for me. Can you help me?

Thank you.

## What's the intended function of LinearSolve with i...

I've read the spec online for LinearSolve but it's not clear on the function of inplace on nonsquare matrices. For example, consider the following:

A:=<0;1>;
B:=<0:2>;
LinearSolve(A,B,inplace=true)

This last line outputs <2;0>, which is also the value stored in B after the operation, whereas [2] would be the desired result. In the case of A being a row vector an error is encountered due to lack of storage. Does what happened above generalise for any matrix with more rows than columns: storing the result in B, but adding zeroes to the bottom unused parts of B, due to B being larger than the solution?

Also, does anyone have any advice on an efficient method for solving A.x=b, in the case where b is a vector, and A is a large but tall (varying size, but often 5x as many rows as columns, e.g. 10000x2000) integer matrix, where most of the entries in any particular column are zero (more than 90%)? I've found the option method='modular' helps quite a lot, but not enough, any ideas for quick fixes?

## How to convert table in maple to a matrix?...

I'm sorry if this sounds like a noob question. I am trying to make a matrix from a table, something like Gauss-Jordan Elimination tutor.

For example

```maplet1 := Maplet([BoxCell(Table([A, B], [[1, 2], [3, 4]]), 'as_needed'), Button("OK", Shutdown())]);

```

How do I turn it to 2x2 matrix?Any help appreciated

## How do I check a row is zero vector?...

```restart; with(LinearAlgebra); with(Student[LinearAlgebra]);
Z := Matrix([[3, 1, 5, 4, 5], [0, 0, 0, 0, 0], [28, 6, 4, 5, 9], [98, 5, 82, 2, 4], [24, 55, 23, 22, 90]]);
B := Matrix([[0], [0], [0], [0], [0]]);
A := <Z|B>:
if Row(A, 2) = ZeroVector[row](6) then A; end if;```

I used the code above but it didn't work...any help appreciated

I have four matrix equations

P1, P2, P3 are known 4x4 matrix.

A1 A2 A3 A4 are known 1x4 matrix.

x1 x2 x3 x4 are 1x1 known matrix.

U is 4x4 unknown matrix.

These equations are

(A1T*U*P1*A1) +( (P2*A1)T*U*P1*A1) + ( (P3*A1)T*U*A1) + ( ( P3*A 2)T*U*P1*A1) + x1 =0;

(A2T*U*P1*A2) +( (P2*A2)T*U*P1*A2) + ( (P3*A2)T*U*A2) + ( ( P3*A2 )T*U*P1*A2) + x2 =0;

(A3T*U*P1*A3) +( (P2*A3)T*U*P1*A3) + ( (P3*A3)T*U*A3) + ( ( P3*A3 )T*U*P1*A3) + x3 =0;

(A4T*U*P1*A4) +( (P2*A4)T*U*P1*A4) + ( (P3*A4)T*U*A4) + ( ( P3*A4 )T*U*P1*A4) + x4 =0;

How can i find 4x4 matrix U by using these above four equations??

Thank you

## matrix differentiation...

First Question: How to define nx1 matrix Y:=(y1,y2,...,yn) ? (n is a Natural number while it is ungiven)

Second Question: How to derivative of matrix Y with respect to nx1 matrix X:=(x1,x2,...,xn) ?

My efforts for the first question:  (I know to define 6x1 matrix etc. , but I dont know to define nx1 matrix

`restart: Matrix(1..6,1,symbol=y) `

My efforts for the second question:

```restart; with(VectorCalculus);
Matrix([x^2, x*y, x*z]);
Jacobian([x^2, x*y, x*z], [x, y, z]);```

Can you help me?

## Decompose a given vector x into a product of a mat...

I have a vector x of this type:

x :=Vector[column]([A__11*u__1+A__12*u__2+...+A__1m*u__m,

A__21*u__1+A__22*u__2+...+A__2m*u__m,

...,

A__n1*u__1+A__n2*u__2+...+A__nm*u__m]);

If I define u:=Vector[column]([u__1,u__2,...,u__m]), then it is clear that the equation has the form x=A*u.

I want to extract the matrix A, for the given vectors x and u.

IMPORTANT: I know I could create a loop (i=1 to m) and set u__i=1 and all other u__j=0 (for all j not equal i) and then reconstruct each column by this method, but it seems to be a overkill for such an easy problem.

I would be glad, if someone could show me a method how one can achive this in maple.

## Can Maple find a determinant corresponding to a sy...

For exaqmple, the quadratic equation w^2 + uw + v = 0 corresponds to the deter minant

| -u  1  1  |

| v    0  1  |  = 0

|w^2 w w-1|

Is there any way to find a determinant corresponding to an equation, as above?

This is an issue in the preparation of a nomograph for the initial equation.

It is generally solved by trial and error.

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