Linear Algebra and Its Applications · Problem 1.3.2

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · gaussian-elimination

Problem

Solve the triangular system of Problem 1 by back-substitution,

y

before

x

. Verify that

x

times

(2,10)

plus

y

times

(3,9)

equals

(1,11)

. If the right-hand side changes to

(4,44)

, what is the new solution?