*Stata programming by Example
*Tutorial 7
*mata maths

*Matrix Addition and Subtraction
*--------------Start Example  1 ----------------*

mata
a=1,1\1,1
a
b=2,2\2,2
b
c=a+b
c

d=c-b
d

end

*--------------End Example----------------------*



*Matrix Addition and Subtraction
*--------------Start Example  2 ----------------*

mata
a=1,1\1,1
b=2,2\2,2
a
b
c=a*b
c

end

*--------------End Example----------------------*



*Transpose of Matrices 
*--------------Start Example  3 ----------------*

mata
a=1,2\3,4
a
b=a'
b
end

*--------------End Example----------------------*


*The Determinant of a Matrix 
*--------------Start Example  3 ----------------*

mata
a=1,2\3,4
a
b=det(a)
b
end

*--------------End Example----------------------*


*The Inverse of a Matrix  
*--------------Start Example  4 ----------------*

mata
a=1,2\3,4
a
b=pinv(a)
b
end

*--------------End Example----------------------*




*solving simutanous equation
*--------------Start Example  5 ----------------*
*let
*x+2y=c
*3x+6y=c
*let
*x=1 
*y=2 

mata
a=(1,2)\(3,6)
a
b=5\15
b
x=pinv(a)*b
x

end

*--------------End Example----------------------*

*end tutorial 7

exit