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Suppose that A is 4x4, and suppose that the only solution to the system Ax=0 is the trivial solution. Use this information to answer the following questions. Justify all of your conclusions in complete sentences referencing appropriate theorems. 1 -2 a. How many solutions are there to Ax = b. What is rank(A)? c. What if anything can you tell us about det(A)? d. Show RREF(A), if possible.

Suppose that A is 4x4, and suppose that the only solution to the system Ax=0 is the trivial solution. Use this information to answer the following questions. Justify all of your conclusions in complete sentences referencing appropriate theorems. 1 -2 a. How many solutions are there to Ax = b. What is rank(A)? c. What if anything can you tell us about det(A)? d. Show RREF(A), if possible.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose that A is 4x4, and suppose that the only solution to the system Ax=0 is the trivial solution. Use this information to answer the following questions. Justify all of your conclusions in complete sentences referencing appropriate theorems. 1 -2 a. How many solutions are there to Ax = b. What is rank(A)? c. What if anything can you tell us about det(A)? d. Show RREF(A), if possible.
Transcribed Image Text:Suppose that A is 4x4, and suppose that the only solution to the system Ax=0 is the trivial solution. Use this information to answer the following questions. Justify all of your conclusions in complete sentences referencing appropriate theorems. 1 -2 a. How many solutions are there to Ax = b. What is rank(A)? c. What if anything can you tell us about det(A)? d. Show RREF(A), if possible.
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