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Hi,

My HP50g is unable to multiply a 1 by n vector by a n by 1
vector. However, matrix dimensions agree for the product, and this
product is thus defined. This is even the definition of the scalar
product of two vectors when their components are given.

Is it normal? Is there a way to make this scalar product?

Thanks.
- -- 
Merciadri Luca
See http://www.student.montefiore.ulg.ac.be/~merciadri/
- -- 

Life is like a box of chocolate, you never know what you're gonna
  get.
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> My HP50g is unable to multiply a 1 by n vector by a n by 1
> vector. However, matrix dimensions agree for the product, and this
> product is thus defined. This is even the definition of the scalar
> product of two vectors when their components are given.

One is a vector, the other is a matrix. They are two different types
to the calculator. Make sure they are defined both with [ [ 1 2
3 ... ] ]  as opposed to just [ 1 2 3 ... ]. It should work then I
think.

TW

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TW <timwessman@gmail.com> writes:

>> My HP50g is unable to multiply a 1 by n vector by a n by 1
>> vector. However, matrix dimensions agree for the product, and this
>> product is thus defined. This is even the definition of the scalar
>> product of two vectors when their components are given.
>
> One is a vector, the other is a matrix. They are two different types
> to the calculator. Make sure they are defined both with [ [ 1 2
> 3 ... ] ]  as opposed to just [ 1 2 3 ... ]. It should work then I
> think.
Okay. But a question then arises: why is a such a vector matrix not
defined as a vector, simply?

Thanks.
- -- 
Merciadri Luca
See http://www.student.montefiore.ulg.ac.be/~merciadri/
- -- 

The exception proves the rule. 
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On 21 mar, 11:16, Merciadri Luca <Luca.Mercia...@student.ulg.ac.be>
wrote:
> -----BEGIN PGP SIGNED MESSAGE-----
> Hash: SHA1
>
> TW <timwess...@gmail.com> writes:
> >> My HP50g is unable to multiply a 1 by n vector by a n by 1
> >> vector. However, matrix dimensions agree for the product, and this
> >> product is thus defined. This is even the definition of the scalar
> >> product of two vectors when their components are given.
>
> > One is a vector, the other is a matrix. They are two different types
> > to the calculator. Make sure they are defined both with [ [ 1 2
> > 3 ... ] ] =A0as opposed to just [ 1 2 3 ... ]. It should work then I
> > think.
>
> Okay. But a question then arises: why is a such a vector matrix not
> defined as a vector, simply?
>
> Thanks.
> - --
> Merciadri Luca
> Seehttp://www.student.montefiore.ulg.ac.be/~merciadri/
> - --
>
> The exception proves the rule.
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>
> iEYEARECAAYFAk2HXdMACgkQM0LLzLt8MhyT7gCZAVXmel6ay+SngTgO2oXhHhQ1
> myEAoJo1oksJr0eslofyBb76pt+cTg0g
> =3DeMiJ
> -----END PGP SIGNATURE-----

Hi!, Merciadri:

Have you seen the following video? ... http://www.youtube.com/watch?v=3Dg-p=
O8X8k8pg

Best Regards.
MACH.

On 3/21/2011 7:08 AM, Merciadri Luca wrote:

> My HP50g is unable to multiply a 1 by n vector by a n by 1 vector.

There is no such thing as a "1 by n vector" vs. an "n by 1 vector,"
because a "vector" is a ONE-dimensional LIST of 'n' values,
which has no "second dimension."

The only legitimate types of "vector multiplication"
defined in HP graphing calculators are:

[ 1 2 3 ] [ 4 5 6 ] DOT @ Result: 32

[ 1 2 3 ] [ 4 5 6 ] CROSS @ Result: [ -3 6 -3 ]

A Matrix, on the other hand, is a TWO-dimensional array,
and there is a significant different between these examples:

[[ 1 2 3 ]] @ "1x3" matrix (one row)

[[ 4 ] [ 5 ] [ 6 ]] @ "3x1" matrix (one column)

Valid products of these are highly dependent upon the order of multiplication
(or to put it another way, which "vector" to treat as a "one row matrix"
vs. the other "vector" being treated as a "one column matrix"):

[[ 1 2 3 ]]  [[ 4 ] [ 5 ] [ 6 ]] * @ [[ 32 ]]

[[ 4 ] [ 5 ] [ 6 ]]  [[ 1 2 3 ]] * @ [[ 4 8 12 ] [ 5 10 15 ] [ 6 12 18 ]]

As a special case, the calculators accept:

[[ 1 2 3 ]]  [ 4 5 6 ] * @ [ 32 ]

Where a vector 2nd argument of "*" is treated as a 1-column matrix,
and the one-column matrix result is again output as a vector;
this is handy to save a little effort and eye-strain
in representing systems of linear equations as 'A*X=B'
where 'X' and 'B' may each be represented as vectors,
rather than as one-column matrices.

[r->] [OFF]

In article <87r5a0vfq4.fsf@merciadriluca-station.MERCIADRILUCA>,
 Merciadri Luca <Luca.Merciadri@student.ulg.ac.be> wrote:

> Hi,
> 
> My HP50g is unable to multiply a 1 by n vector by a n by 1
> vector. However, matrix dimensions agree for the product, and this
> product is thus defined. This is even the definition of the scalar
> product of two vectors when their components are given.

What is mostly displayed as row vector, such as [ 1 2 3 ] is treated 
internally, as are all vectors, as a column vector so that [[1 2 3 ]] 
times [1 2 3] in that order is a proper operation , a  1 by 3 matrix 
times a 3 dimensional column vector and results in [ 14 ], a one 
dimensional vector.

Whereas [1 2 3] times [[ 1 2 3 ]] in that order is improper and results 
only in an error message.

If vectors were required to be matrices, then the vector [`1 2 3]
would be have to be [[1] [2] [3]] rather than [[1 2 3]].


So the hp50 does handle those matrix products, one you understand the 
peculiar vector notation of displaying internally held column vectors as 
if they were row vectors.

It is just one of those idiosyncracies of the HP48-49-50 series  you 
have to get used to.

On Mar 21, 11:07=A0pm, Virgil <V...@gil.Gil> wrote:
> In article <87r5a0vfq4....@merciadriluca-station.MERCIADRILUCA>,
> =A0Merciadri Luca <Luca.Mercia...@student.ulg.ac.be> wrote:
>
> > Hi,
>
> > My HP50g is unable to multiply a 1 by n vector by a n by 1
> > vector. However, matrix dimensions agree for the product, and this
> > product is thus defined. This is even the definition of the scalar
> > product of two vectors when their components are given.
>
> What is mostly displayed as row vector, such as [ 1 2 3 ] is treated
> internally, as are all vectors, as a column vector so that [[1 2 3 ]]
> times [1 2 3] in that order is a proper operation , a =A01 by 3 matrix
> times a 3 dimensional column vector and results in [ 14 ], a one
> dimensional vector.
>
> Whereas [1 2 3] times [[ 1 2 3 ]] in that order is improper and results
> only in an error message.
>
> If vectors were required to be matrices, then the vector [`1 2 3]
> would be have to be [[1] [2] [3]] rather than [[1 2 3]].
>
> So the hp50 does handle those matrix products, one you understand the
> peculiar vector notation of displaying internally held column vectors as
> if they were row vectors.
>
> It is just one of those idiosyncracies of the HP48-49-50 series =A0you
> have to get used to.

Thanks all!