# How do I generate a given Matrix in one command?

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I have to generate a matrix A = [1 1 0 0 0; 1 1 1 0 0; 0 1 1 1 0; 0 0 1 1 1; 0 0 0 1 1]

writing a single command.

Teacher told as some helpful commands would be

EYE(m,n)

ONES(m,n)

ZEROS(m,n)

RAND(m,n)

I give you a beer

##### 4 Comments

Jan
on 25 Feb 2011

### Answers (16)

Jan
on 23 Feb 2011

Refering to your former post, which has been deleted now: I know also, who you are: you are marciuc.

At first I suggest this:

A = [1 1 0 0 0;1 1 1 0 0;0 1 1 1 0;0 0 1 1 1;0 0 0 1 1]

This is a single command and it is the most efficient solution: No temporary memory, no overhead for calling commnad, and easy to debug. There is no better solution.

Sean de Wolski
on 23 Feb 2011

Probably the most compact:

A = toeplitz([1 1 0 0 0])

##### 1 Comment

Jan
on 23 Feb 2011

This is the most compact command, except for the ambitious RAND apporach. I vote it.

Jan
on 23 Feb 2011

Give the beer to your teacher. He is obviously funny if he suggests RAND - but it really works:

A = round(rand(5))

There is at least a certain chance to get the correct answer.

##### 5 Comments

Matt Tearle
on 23 Feb 2011

A = full(gallery('tridiag',ones(1,4),ones(1,5),ones(1,4)))

But my current favorite:

A = 1-reshape(mod(floor((1:25)/3),2),5,5)

Kenneth Eaton
on 28 Feb 2011

I can't believe no one suggested dilation:

A = imdilate(eye(5),ones(2));

Or convolution:

A = sign(conv2(eye(5),ones(2),'same'));

A = sign(filter2(ones(2),eye(5)));

##### 1 Comment

Jan
on 23 Feb 2011

A general method to create a diagonal matrix is using DIAG (as the example in "help diag" explains):

A = diag(ones(1, 5)) + diag(ones(1,4), 1) + diag(ones(1,4), -1);

You can discuss, if this is still "a single command".

I do not drink beer. But you can ask your teacher to send me the points gained by solving this homework.

##### 2 Comments

Matt Tearle
on 23 Feb 2011

You can have all the beer that marciuc's teacher sends me. How's that for a deal?

Paulo Silva
on 23 Feb 2011

Here's probably the most awesome way to generate the matrix :D

disp('I dare you to try the Infinite monkey matrix')

answer=input('Press y and Enter if your dare to try','s')

if (strcmp(answer,'y'))

disp('Congratulations your are not a coward')

disp('Good luck')

pause(1)

disp('Please wait or press CTRL+C to cancel')

disp('but canceling the operation makes you a coward!!')

a=[1 1 0 0 0; 1 1 1 0 0; 0 1 1 1 0; 0 0 1 1 1; 0 0 0 1 1];

w=0;b=zeros(5,5);

while ~isequal(a,b)

b=randi([0 1],5,5);

w=w+1;

end

disp('Congratulations we found the Infinite monkey matrix for you')

b

disp('after')

w

disp('attempts')

else

disp('You are a coward!!!!')

end

##### 1 Comment

Walter Roberson
on 25 Feb 2011

EDIT: line-broken per request.

eval(char(mod(1.0599.^ ...

'i<o<ZC<C<d<d<d_C<C<C<d<d_d<C<C<C<d_d<d<C<C<C_d<d<d<C<Cv', ...

96)))

##### 1 Comment

Jan
on 25 Feb 2011

Thanks for line breaking. This solution will drive marciuc's teacher crazy. Such ugly! +1

Jan
on 24 Feb 2011

I cannot resist to post some variation of the DEC2BIN theme:

A = dec2bin('8<.''#' - 32) - '0'

A = dec2bin('FJ<51' - 46) - '0'

But finally you can even omit the first subtraction, because DEC2BIN operates on CHAR vectors also, but you cannot type the non-printables directly:

q = [100 101 99 50 98 105 110 40 39 24 28 14 7 3 39 41 45 39 48 39];

clipboard('copy', char(q))

==> Ctrl-v in the command window

>> dec2bin('#####')-'0'

Here the '#' are the non-printables with the ASCII codes [24,28,14,7,3]. You can write them even in a M-file.

##### 0 Comments

Matt Fig
on 24 Feb 2011

One line, anyway. And since the array is at least dynamically pre-allocated, the code is fast.

for ii = 5:-1:1,for jj = min(ii+1,5):-1:max(ii-1,1),A(ii,jj) = 1;end,end

##### 2 Comments

Matt Fig
on 25 Feb 2011

Paulo Silva
on 23 Feb 2011

diag(diag(eye(4,4)),1)+diag(diag(eye(4,4)),-1)+eye(5,5)

or

diag(ones(1,4),1)+diag(ones(1,4),-1)+eye(5,5)

It's similar to the Jan solution above

##### 0 Comments

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