Exersices 1.1-1.7 Flashcards
0
Q
How do you find a common solution to two linear systems of sizes mxn and rxn?
A
The common solution will satisfy all equations of both linear system and can be found by augumenting the system into an (m+r)xn matrix and finding the solution to the augumented matrix.
1
Q
What can be said of the difference between two solutions to a given linear system Ax=b
A
The difference will always be the solution to the corresponding homogeneous linear system Ax=0. Hence the difference between a solution for a linear system Ax=b and the solution to its corresponding system Ax=0 will always be a solution to Ax=b.
