Linear Algebra

mercredi 29 janvier 2014

Finding the value for k that gives the system

a) a unique solution?

b) no solution

c) an infinite number of solutions?



x − 2z = − 3

x + y + (k + 2) z = 1

2x − ky − z = − 2



So the matrix is

1 0 -2 -3

1 1 (k+2) 1

2 -k -1 -2



It also says "HINT: You should find this factorisation useful: k2 + 4k + 3 = (k + 3)(k + 1)"

I don't see how that information is useful. Shouldn't I just find the values of k that make a)/b)/c) true?





0 commentaires:

Enregistrer un commentaire