Problems with legend using imagesc

I have the following code, I have adapted it from another code and I think that is where I am getting stuck.

basically I have a 35x43 matrix of numbers 1-6 and NaNs. I want to plot is as a map using imagesc with different colours for each number (1,2,3,4,5,6). I have attached the data, and my code is below.

Thanks in advance for any help

figure(6)
subplot(1,2,1)
imagesc(lut)
title('Distribution of Different Land Use Types in Australia')
ylabel('Longitude')
xlabel('Latitude')
caxis([0, 6])
myColorMap = jet(6);
myColorMap(1,:) = 1;
colormap(myColorMap);
M = jet(6); 
hold on
L = line(ones(6),ones(6));
set(L,{'color'},mat2cell(M,ones(1,6),3))
[legh,objh,outh,outm] = legend('First','Second','Location','Southeast');
set(objh,'linewidth',200);
legend(1,'Forest',2,'Shrubland',3,'Savanna',4,'Grassland',5,'Agricultural',6,'Barron');
grid on
ax = gca
ax.GridAlpha = .2
ax.XTick = [5 10 15 20 25 30 35 40];
ax.YTick = [5 10 15 20 25 30];
ax.XTickLabel = {'118^{o}E','123^{o}E','128^{o}E', '133^{o}E', '138^{o}E', '143^{o}E','148^{o}E', '153^{o}E'};
ax.YTickLabel = {'13^{o}S','18^{o}S','23^{o}S','28^{o}S','33^{o}S','38^{o}S'};
ax.TickLength =[0.0 0.0]

Answer 1

[KSSV]

Replace

   legend(1,'Forest',2,'Shrubland',3,'Savanna',4,'Grassland',5,'Agricultural',6,'Barron');

with

legend('Forest' ,'Shrubland', 'Savanna','Grassland' , 'Agricultural' ,'Barron');

[Robert]

Thank you for your answer, but this doesn't solve the problem

[KSSV]

what is problem?

[Robert]

The problem is that the colours in the legend don't match the colours in the image. See attached picture as an example. The large light blue area is all shrubland, however the legend shows it as savanna, this is a problem for all the different variables.

[Robert]

here is the attachment

[KSSV]

Try

image(lut)

instead

imagesc(lut)

[Robert]

This does not fix the problem either.

I am pretty sure the answer lies within these lines

caxis([0, 6])
myColorMap = jet(6);
myColorMap(1,:) = 1;
colormap(myColorMap);
M = jet(6); 
hold on
L = line(ones(6),ones(6));
set(L,{'color'},mat2cell(M,ones(1,6),3))

I have tried various combinations of numbers but with no luck...