4- Answer the questions considering the linear equations below. x + y + z = 5 x + 2y + 3z = 7 x + 3y + 6z = 11 c) Write the elimination matrices E21, E31, E32 and their inverses. | a) Write these equations in matrix form as Ax = b } b) Put these equations in upper triangular form by following | the elimination steps. (Write 42, l31, l32 explicitly in these steps) 15-11

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 93E
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4- Answer the questions considering the linear equations below.
x + y + z = 5
x + 2y + 3z = 7
x + 3y + 6z = 11
c) Write the elimination matrices E21, E31, E32 and their inverses.
d) Write down E and E-1 by using E21, E31, E32.
| a) Write these equations in matrix form as Ax = b
} b) Put these equations in upper triangular form by following
| the elimination steps. (Write 112, 131, 132 explicitly in these steps)
e) Obtain A by satisfying the factorization A = LU.
Transcribed Image Text:4- Answer the questions considering the linear equations below. x + y + z = 5 x + 2y + 3z = 7 x + 3y + 6z = 11 c) Write the elimination matrices E21, E31, E32 and their inverses. d) Write down E and E-1 by using E21, E31, E32. | a) Write these equations in matrix form as Ax = b } b) Put these equations in upper triangular form by following | the elimination steps. (Write 112, 131, 132 explicitly in these steps) e) Obtain A by satisfying the factorization A = LU.
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