I figured how to insert row in middle of a matrix using <<>> notation. But I am trying to stick to one notation which is the Matrix() and Vector() for now. 

Here is what I am trying to do. Insert a row in the third row of  Matrix. This works:

A:=< <1|2|3>,<4|5|6>,<7|8|9>>;
A:=<<A[1..2,..],<90|91|92>,A[3,..]>>;

But when I try

A:=Matrix([ [1,2,3],[4,5,6],[7,8,9]]);
A:=Matrix([ A[1..2,..], [91,92,92], A[3,..] ]);

Error, (in Matrix) this entry is too tall or too short: [91, 92, 92]

I also tried:
A:=Matrix([ A[1..2,..], Vector[row](91,92,92), A[3,..] ]);
A:=Matrix([ A[1..2,..],Matrix([[91,92,92]]), A[3,..] ]);

I am starting to think I should go back to using <<|,|,|>> notation, even thought I do not like it, but at least it seems more logical. 
How would you insert row in middle of matrix, using Matrix() constructor from an existing Matrix?

I am learning a bit of Maple. I noticed I can use map and seq to obtain the same result I want. So I was wondering when to use each, or if it just a style issue or if there is more to it.

I am sure there are cases when map can only be used, and cases when seq() only can be used. But are there general rules of thumb to look for when deciding which to use? Here is an example of what I mean

restart;
plot( map(i->i*sin(t),[seq(i,i=.1..1,.2)]),t=-2*Pi..2*Pi);   #1
plot( [seq(i*sin(t),i=.1..1,.2)],t=-2*Pi..2*Pi);  #2

Both give the same result

I kind'a like map more myself, but seq is a little shorter in this case. Just looking for thoughts and hints from the experts.

One would expect that hitting F3 will split from _end_ of the current line (where the cursor is at).

But what Maple does is actually split everything from the current cursor location. Which means if the cursor happened not to be exactly at the end of the line, the current line itself will also be split and broken.

It is much more logical to split starting from end of current _line_ (where the cursor is at), not current character, because that is what normally one would want to do. One will have large block of code, and want to split it from one line down to the end.  It is a simple usability issue, which Maple UI seems to suffer allot from.

Is there a way to modify this behavior? I keep hitting F3 and forget to move the cursor to the end of the line before, and end up wasting time having to fix things afterwords since the line itself is split.

This is a typical problem of what I find when learning DynamicSystems. Basically, I create number of systems by changing one paramter (the damping ratio in this case) and want to plot the unit step of all of them on the same plot to compare the effect of the damping ratio.

I setup the TransferFunction, used Simulate to obtain the response of each to the same input. The problem comes when I want to plot the respones.  I have to use plot[odeplot] it seems. But this only like to take one response at a time.

I can't use plot() since I do not have the actual function of the response in time. Unless I try to extract the differential equation from the sytem object, solve that and get a solution then use plot(). But if I do all of this, what do I need DynamicSystems in first place? 

I will show what I tried. I am sure there is some way to do this in Maple I just do not know yet the correct function or setup.

restart;
alias(DS=DynamicSystems);
H:=(w,zeta)->w^2/(s^2+2*zeta*w*s+w^2);
sys:= (w,zeta)->DS:-TransferFunction(H(w,zeta)):
sol:=seq(DS:-Simulate(sys(1,zeta),Heaviside(t)),zeta=0.1..1.2,.2):

Now I want to plot all the solutions in sol. I wanted to use plot(...) only to be able to obtain the automatic coloring of each solution.

If I try to use plots[odeplot], it works, but only on one at a time:

plots[odeplot](sol[1],t=0..10);

If I try this, it fails:

plots[odeplot]([sol],t=0..10);

I can get each plot separatly and then use display() but then lose the automatic coloring of the lines:

plots:-display(seq(plots[odeplot](sol[i],t=0..10),i=1..nops([sol])));

I am looking for the above plot, but have the lines each colors differently. I also need to figure how to add legend later. But one step at a time. I can't hard code the color in the plots[odeplot] call itself, since I do not know what color to give each line. plot([....],t=0..) allready does this automatically. But I can't use it!

Just to give an idea of the kind of plot I am trying to obtain, here it is in Mathematica:

sys = TransferFunctionModel[w^2/(s^2 + 2 z*w*s + w^2), s];
zValues = Range[.2, 1.2, .2];
fun = OutputResponse[sys /. {w -> 1, z -> #}, UnitStep[t], {t, 0, 12}] & /@ zValues;
Plot[Evaluate@Flatten@Table[fun[[i]], {i, 1, Length[fun]}], {t, 0, 12}, Frame -> True, PlotRange -> {{0, 12}, {-.1, 1.7}}]

according to

http://www.maplesoft.com/support/faqs/detail.aspx?sid=32658

But the above does not work in Maple 18, windows: (I use worksheet)

restart;
assume(z>0):
interface(showassumed=0):
z;

Only the other solution works, which is using options->display->turnoff assumed variables tilda.

Why does not the above command work?