Tanking Matrices Apart Let A be an n ( n matrix whose jth column is the column vector (n ( 1 matrix) Ai: we can write this as [A1 | A2 | · · · | An) (an example of a partitioned matrix). Let xÌ… be the column vector [x1 x2 ....... xn]T.
(a) For

(b) Show that in general the product of a matrix and a vector can be expressed as a linear combination of the columns of the matrix; that is, show that (8) is a true statement independent of the particular matrices in part (a).

Transcribed Image Text:

A--I 0 31 and x =14 2 4 7