Scalar, Matrix and "No solution was found".

[lvl107]

Hello, Everyone.

The question is : solve, matrix X with matrix equation ?

    Thanks in advance for your time and help.

          Best Regards.

[Werner_E]

Mathcads symbolics will solve for scalar variables but not for matrix variables.

Furthermore the program is quite buggy and you can get quite astonishing wrong results when you put your expressions in 1x1 matrices:

????

[lvl107]

Thanks for your response, Werner.

[lvl107]

Sorry, my question should be :

  And how many solutions ?

        Best Regards.

[Werner_E]

>   And how many solutions ?

Not a single one!

How would you define an expression like

What is the "result" in your opinion. How do you define 1 divided by a matrix or even a heavily nested matrix like yours??

While being mathematical nonsense, if you divide a scalar by a matrix, Mathcad will switch to vectorization automatically. But is this really what you intend?

[lvl107]

           Best Regards.

[Werner_E · Accepted solution]

Again:

1) Check my example with x=+-1 above. You see that Mathcad is doing wrong and thats why it gives you -.1806/359. Also in your example Mathcad simply is doing wrong, thats all. Additionally Mathcad thinks that a 1x1 matrix equals a scalar, which is wrong, too..

2) What do you think is 1/X, when X is a 1x1 matrix? You can't rely on Mathcad with this question!