Linear Algebra and Its Applications · Problem 1.2.20

Matrices and Gaussian Elimination — Gilbert Strang

Mathematics · geometry-of-linear-equations

Problem

Normally 4 ``planes'' in four-dimensional space meet at a \_\_\_\_\_\_. Normally 4 column vectors in four-dimensional space can combine to produce

b

. What combination of

(1,0,0,0)

(1,1,0,0)

(1,1,1,0)

(1,1,1,1)

produces

b = (3,3,3,2)

? What 4 equations for

x

y

z

t

are you solving?