Linear Algebra and Its Applications · Problem 1.2.19

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · geometry-of-linear-equations

Problem

In Problem 17 the columns are

(1,1,2)

and

(1,2,3)

and

(1,1,2)

. This is a ``singular case'' because the third column is \_\_\_\_\_\_. Find two combinations of the columns that give

b = (2,3,5)

. This is only possible for

b = (4,6,c)

c =

\_\_\_\_\_\_.