Suppose A is an m n matrix. (a) Let v1,..., vn be a basis of Rn,

Question:

Suppose A is an m × n matrix.
(a) Let v1,..., vn be a basis of Rn, and Av1 = w1 ∈ Rm, for i = 1........n. Prove that the vectors v1,..., vn, w1,..., wn, serve to uniquely specify A.
(b) Write down a formula for A.
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

Question Posted: