Do the three planes x₁ + 3x₂ + 2x3 = 4, x₂ - 2x3 =1, and 3x₁ + 12x2 = 9 have at least one common point of intersection? Explain. A. The three planes do not have a common point of intersection. OB. The three planes have at least one common point of intersection. O C. There is not enough information to determine whether the three planes have a common point of intersection.

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
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Please solve Linear Algebra problem and show all work.

Do the three planes x₁ + 3x₂ + 2x3 = 4, x₂ - 2x3 =1, and 3x₁ + 12x2 = 9 have at least one common point of intersection? Explain.
A. The three planes do not have a common point of intersection.
OB. The three planes have at least one common point of intersection.
O C. There is not enough information to determine whether the three planes have a common point of intersection.
Transcribed Image Text:Do the three planes x₁ + 3x₂ + 2x3 = 4, x₂ - 2x3 =1, and 3x₁ + 12x2 = 9 have at least one common point of intersection? Explain. A. The three planes do not have a common point of intersection. OB. The three planes have at least one common point of intersection. O C. There is not enough information to determine whether the three planes have a common point of intersection.
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