%%%Please try these commands.
a=[1 2 3]

a =

     1     2     3

format compact    % to suppress blank lines  (format loose)
                   % more on  (more off)
c=[4;5;6]
c =
     4
     5
     6
a*c             % equivalent to inner product
ans =
    32
dot(a,c)           % inner product
ans =
    32
A=c*a        % outer product
A =
     4     8    12
     5    10    15
     6    12    18
b=a.^2          % . for elementwise
b =
     1     4     9
a.*b
ans =
     1     8    27
a =
     1     2     3
exp(a)   % function that acts on array
ans =
    2.7183    7.3891   20.0855
log(ans)
ans =
     1     2     3
sqrt(a)
ans =
    1.0000    1.4142    1.7321
format long
sqrt(a)
ans =
   1.000000000000000   1.414213562373095   1.732050807568877
format short
format            % format short
2^(-24)

ans =

  5.9605e-008
A=reshape([1:9],3,3)
A =
     1     4     7
     2     5     8
     3     6     9
sqrt(A)
ans =
    1.0000    2.0000    2.6458
    1.4142    2.2361    2.8284
    1.7321    2.4495    3.0000
sqrtm(A)
ans =
   0.4498 + 0.7623i   1.0185 + 0.0842i   1.5873 - 0.5940i
   0.5526 + 0.2068i   1.2515 + 0.0228i   1.9503 - 0.1611i
   0.6555 - 0.3487i   1.4844 - 0.0385i   2.3134 + 0.2717i
ans*ans
ans =
   1.0000 + 0.0000i   4.0000 + 0.0000i   7.0000 + 0.0000i
   2.0000 + 0.0000i   5.0000 + 0.0000i   8.0000 - 0.0000i
   3.0000 + 0.0000i   6.0000 - 0.0000i   9.0000 - 0.0000i

sum(b), mean(c)

ans =

    14


ans =

     5

y=pi                     % pi special variable

y =

    3.1416

y=tan(pi/6);
B=[2 0 -1;2 5 7;-1 4 8]         % form rows

B =

     2     0    -1
     2     5     7
    -1     4     8

x=B\c                 % solve equation

x =

    5.2727
  -10.2727
    6.5455

norm(B*x-c)           % check residual

ans =

  7.1607e-015


B=[-3 0 1;2 5 -7;-1 4 8]

B =

    -3     0     1
     2     5    -7
    -1     4     8

x=B\c

x =

   -1.3717
    1.3874
   -0.1152

norm(B*x-c)

ans =

     0

eig(B)

ans =

  -2.8601          
   6.4300 + 5.0434i
   6.4300 - 5.0434i

[V,D]=eig(B)

V =

   0.9823            -0.0400 - 0.0404i  -0.0400 + 0.0404i
  -0.1275             0.7922             0.7922          
   0.1374            -0.1733 - 0.5823i  -0.1733 + 0.5823i


D =

  -2.8601                  0                  0          
        0             6.4300 + 5.0434i        0          
        0                  0             6.4300 - 5.0434i

w=2:3:10, y=1:-.25:0

w =

     2     5     8


y =

    1.0000    0.7500    0.5000    0.2500         0

C=[A,[8;9;10]],D=[B;a]           % forming larger matrices from matrices

C =

     4     8    12     8
     5    10    15     9
     6    12    18    10


D =

    -3     0     1
     2     5    -7
    -1     4     8
     1     2     3

C(2,3)

ans =

    15

C(2:3,1:2)

ans =

     5    10
     6    12


I3=eye(3), Z=zeros(5,3), O=ones(2,1)

I3 =

     1     0     0
     0     1     0
     0     0     1


Z =

     0     0     0
     0     0     0
     0     0     0
     0     0     0
     0     0     0


O =

     1
     1

lookfor elliptic
ellipj                         - Jacobi elliptic functions.
ellipke                        - Complete elliptic integral.
pdepe                          - Solve initial-boundary value problems for parabolic-elliptic PDEs in 1-D.
iirautoscaledemo               - Fixed-Point Scaling of an Elliptic IIR Filter
ellipk                         - Complete elliptic integral of first kind.
ellip                          - Elliptic or Cauer digital and analog filter design.
ellipdeg                       - Solves the degree equation in analog elliptic filter design.
ellipap                        - Elliptic analog lowpass filter prototype.
sne                            - sn elliptic function with normalized complex argument.
ellipord                       - Elliptic filter order selection.
asne                           - Inverse of sn elliptic function.
acde                           - Inverse of cd elliptic function.
cde                            - cd elliptic function with normalized complex argument.
fdellip                        - Elliptic Module for filtdes.
>> 

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