Combine matrix (three-in-one)

I have three matrix : x,y,z

X =

• X11 X12 X13
• X21 X22 X23
• X31 X32 X33

Y=

• Y11 Y12 Y13
• Y21 Y22 Y23
• Y31 Y32 Y33

Z=

• Z11 Z12 Z13
• Z21 Z22 Z23
• Z31 Z32 Z33

How i can combine this matrix, for this result:

P=

• X11 Y11 Z11
• X12 Y12 Z12
• X13 Y13 Z13 and etc..

Please help me

[Image Analyst]

Explain what "and etc." means. Aren't you just making the columns of P the first row of X, Y, and Z? So what "etc." could there be? Please clarify/expand in case we need to modify our answers.

Answer 1

[Star Strider]

This is done symbolically for illustration, but the permute function is likely what you want:

X = sym('X%d%d',[3 3]);
Y = sym('Y%d%d',[3 3]);
Z = sym('Z%d%d',[3 3]);

P(:,:,1) = X;
P(:,:,2) = Y;
P(:,:,3) = Z;

P1 = permute(P, [2 3 1])

produces:

P1(:,:,1) = 

[ X11, Y11, Z11]
[ X12, Y12, Z12]
[ X13, Y13, Z13]

P1(:,:,2) = 

[ X21, Y21, Z21]
[ X22, Y22, Z22]
[ X23, Y23, Z23]

P1(:,:,3) = 

[ X31, Y31, Z31]
[ X32, Y32, Z32]
[ X33, Y33, Z33]

Answer 2

[B. C.]

If you want P to have 9 lines and 3 columns, you can do

X2=X'; Y2=Y'; Z2=Z';
P = [X2(:) Y2(:) Z2(:)];
clear X2 Y2 Z2

Note that it might exist something faster.

[Timofey]

Is it possible to create a loop ?

Answer 3

[Image Analyst]

To put the first rows of the 3 matrices as the columns of a new matrix P, do this:

P = [X(1,:)', Y(1,:)', Z(1,:)']