Consider the system Its augmented matrix is abc d efgh ax+by+ cz = d ex+fy + gz = (a) Find all possible reduced row-echelon forms for a 2 x 4 matrix. Use to represent any real number. (b) Classify the RREF of (a) according to the type of solution: R³, plane, line, point or empty. Select Aswer 1. How many give a point as an intersection? Select Answer 2. How many give a plane as an intersection? Select Answer 3. How many possible RREFS in total? 4. How many give an empty intersection? 5. How many give a line as an intersection? 6. How many give you all of R³ Select Answer Select Answer Select Answer

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 3T
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Question
Consider the system
Its augmented matrix is
abc d
BJ
efgh
ax+by+
cz = d
ex+fy + gz = h
(a) Find all possible reduced row-echelon forms for a 2 x 4 matrix. Use to represent any real number.
(b) Classify the RREF of (a) according to the type of solution: R³, plane, line, point or empty.
Select Aswer
1. How many give a point as an intersection?
Select Answer
2. How many give a plane as an intersection?
Select Answer
3. How many possible RREFs in total?
Select Answer
4. How many give an empty intersection?
Select Answer
5. How many give a line as an intersection?
Select Answer
6. How many give you all of R³
Transcribed Image Text:Consider the system Its augmented matrix is abc d BJ efgh ax+by+ cz = d ex+fy + gz = h (a) Find all possible reduced row-echelon forms for a 2 x 4 matrix. Use to represent any real number. (b) Classify the RREF of (a) according to the type of solution: R³, plane, line, point or empty. Select Aswer 1. How many give a point as an intersection? Select Answer 2. How many give a plane as an intersection? Select Answer 3. How many possible RREFs in total? Select Answer 4. How many give an empty intersection? Select Answer 5. How many give a line as an intersection? Select Answer 6. How many give you all of R³
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