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Problem 12 Consider an augmented matrix containing a variable a. 15 3 | 1 | 2a – 5 ба + 1 1 — 15 ба + 1 а — 12a Find any reduced row form (RRF) in terms of a. (Hint: the later parts are easier if you don' divide by something that has a in it.) 12b What values of a give o solutions? 12c What values of a give 0 solutions? 12d What values of a give 1 solution?

Problem 12 Consider an augmented matrix containing a variable a. 15 3 | 1 | 2a – 5 ба + 1 1 — 15 ба + 1 а — 12a Find any reduced row form (RRF) in terms of a. (Hint: the later parts are easier if you don' divide by something that has a in it.) 12b What values of a give o solutions? 12c What values of a give 0 solutions? 12d What values of a give 1 solution?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 22EQ: Consider the matrix A=[2314]. Show that any of the three types of elementary row operations can be...
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Problem 12 Consider an augmented matrix containing a variable a. 15 | 3 5 ба + 1 1 -15 6а + 1 а — 1 | 2а 5 12a . Find any reduced row form (RRF) in terms of a. (Hint: the later parts are easier if you don' divide by something that has a in it.) а 12b What values of a give o solutions? 12c What values of a give 0 solutions? 12d . What values of a give 1 solution? 6.
Transcribed Image Text:Problem 12 Consider an augmented matrix containing a variable a. 15 | 3 5 ба + 1 1 -15 6а + 1 а — 1 | 2а 5 12a . Find any reduced row form (RRF) in terms of a. (Hint: the later parts are easier if you don' divide by something that has a in it.) а 12b What values of a give o solutions? 12c What values of a give 0 solutions? 12d . What values of a give 1 solution? 6.
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