Help Understanding Complex Matrix Calculations?

[rmcmullen]

Hi,

The following matrix calculations were completed in Mathcad:

My feeling is that the vector solutions for the last two matrix x vector calculations should be equal.  I would appreciate help understanding where I have made an error,

Thank You!

Rick

[MJG]

You are only seeing one significant digit of the second element in "pvi".  I think its value is closer to 0.0095.  When you use 0.0095 instead of 0.01, the result is much closer.

I think the other difference is that the first element of "pvi" is not equal to "pi".  You calculated "pi" as (tot[1,1)*po.  However, the first element of "pvi" is equal to (tot[0,0)*po.  That is, unless you changed "ORIGIN" to 1.

[rmcmullen]

Hi Mark,

Thank you very much for your response.  I am displaying more significant figures in my work because of your input.

Thank You!

Rick

[-MFra-]

[rmcmullen]

Hi F.M.,

Thank you for your work to help me understand my mistake.  The calculated pvi vector matches a known solution I have from another source.  I will be more careful with the accuracy of numbers I input to the equations!

Thank You!

Rick

[AlvaroDíaz]

Hi.

You can try to solve the above system, with u-v solve a,b -> for example, to impose some conditions where the product was equal. But it is not for general values.

Best regards.

Alvaro.

[rmcmullen]

Hi Alvaro,

The rigorous symbolic representation of my problem that you presented helped me understand the different results I obtained in my calculations.  I have the "origin" variable set to 1 for my matrix calculations but the point you make still applies.

Thank You!

Rick