The augmented matrix of a consistent system of five equa- tions in seven unknowns has rank equal to three. How many parameters a

Question

uranmaximum [27]

2 years ago

11

The augmented matrix of a consistent system of five equa- tions in seven unknowns has rank equal to three. How many parameters a

re needed to specify all solutions?

Mathematics

1 answer:

dangina [55] · Answer 1 · 2022-06-19T17:18:29+03:00

Answer:

It is necessary four parameters.

Step-by-step explanation:

Since the augmented matrix of the consistent system has rank equal to three then the number of free variables is (number of unknows)-rank then there are 7-3=4 free variables. This means that are necessary four parameter to specify all solutions.