📄 matrix_out.mht
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Date: Tue, 12 May 2009 09:57:59 -0700
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<BODY><PRE>>> a =3D [3 2 -1; -1 3 2; 1 -1 -1] % =
'a' 3X3 coeff matrix
a =3D
3 2 -1
-1 3 2
1 -1 -1
>> b =3D [ 10; 5; -1] % 'b' RHS (load) vector
b =3D
10
5
-1
>> x =3D a\b % from a * x =
=3D b, solve for x
x =3D
-2.0000
5.0000
-6.0000
>> a*x % check that a * =
x =3D b
ans =3D
10.0000
5.0000
-1.0000
>> inva =3D inv(a) % determine =
inverse of 'a'
inva =3D
-1.0000 3.0000 7.0000
1.0000 -2.0000 -5.0000
-2.0000 5.0000 11.0000
>> inva * a % check that inva =
* a =3D [I]
ans =3D
1.0000 0.0000 0.0000
0.0000 1.0000 0.0000
0.0000 0.0000 1.0000
>> inva * b % show that inva =
* b =3D x
ans =3D
-2.0000
5.0000
-6.0000
>> a' % transpose of =
'a'
ans =3D
3 -1 1
2 3 -1
-1 2 -1
>> cond(a) % condition =
number of 'a'
ans =3D
63.0547
</PRE></BODY></HTML>
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