Book
Linear Algebra
Author
Gilbert Strang
Edition
x1=matrix([[1],[0]])
print "Given matrix x1=\n",x1
x2=matrix([[0],[1]])
print "Given matrix x2=\n",x2
var('a,b,c,d,e,f')
A=matrix([[a,b],[c,d],[e,f]])
print "Let us assume matrix A be A=\n",A
print "Given the value of matrix A*x1.Let R1=A*x1"
R1=A*x1
print "R1=\n",R1
R1=matrix([[2],[3],[4]])
print "But given R1 as \n",R1
a=R1[0]
c=R1[1]
e=R1[2]
print "Thus we can obtain values of a,c,e as"
print "a=",a
print "c=",c
print "e=",e
print "Given the value of matrix A*x2.Let R2=A*x2"
R2=A*x2
print "R2=\n",R2
R2=matrix([[4],[6],[8]])
print "But given R2 as \n",R2
b=R2[0]
d=R2[1]
f=R2[2]
print "Thus we can obtain values of b,d,f as"
print "b=",b
print "d=",d
print "f=",f
Result:
Given matrix x1=
[1]
[0]
Given matrix x2=
[0]
[1]
Let us assume matrix A be A=
[a b]
[c d]
[e f]
Given the value of matrix A*x1.Let R1=A*x1
R1=
[a]
[c]
[e]
But given R1 as
[2]
[3]
[4]
Thus we can obtain values of a,c,e as
a= (2)
c= (3)
e= (4)
Given the value of matrix A*x2.Let R2=A*x2
R2=
[b]
[d]
[f]
But given R2 as
[4]
[6]
[8]
Thus we can obtain values of b,d,f as
b= (4)
d= (6)
f= (8)
Solution by:
<T.R.N.Karthik>, <Student>, <Gitam University>