Let A be an mxn matrix. Prove that every vector x in R" can be written in the form x = p+u, where p is in Row A and u is in Nul A. Also, show that if the equation Ax = b is consistent, then there is a unique p in Row A such that Ap = b. ..... Because Row A is a subspace of R^, the V states that every x in Rn can be written as x=x+z where x is in Row A and z is in (Row A).

Let A be an mxn matrix. Prove that every vector x in R" can be written in the form x = p+u, where p is in Row A and u is in Nul A. Also, show that if the equation Ax = b is consistent, then there is a unique p in Row A such that Ap = b. ..... Because Row A is a subspace of R^, the V states that every x in Rn can be written as x=x+z where x is in Row A and z is in (Row A).

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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