Suppose I have two systems of equations <mi mathvariant="bold">A <mi mathvariant="bol

Llubanipo

Llubanipo

Answered question

2022-06-16

Suppose I have two systems of equations A x and C y = d each with unique solutions. What are the necessary and/or sufficient conditions for the solutions to be identical ?

Answer & Explanation

Jerome Page

Jerome Page

Beginner2022-06-17Added 16 answers

We need that A and C have the same numbers of column vectors. If the solutions are unique the column vectors of the matrices are linearly independent, hence A t A and C t C are invertible. From here
( A t A ) 1 A t b = ( C t C ) 1 C t d .
Sonia Gay

Sonia Gay

Beginner2022-06-18Added 7 answers

x = y A 1 b = C 1 d

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?