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6. Solve the system Т +2=6 - 3y + z = 7 by reducing into upper triangular form and using back substitution. 2x + y + 3z = 15 List all multipliers used and circle all pivots.

6. Solve the system Т +2=6 - 3y + z = 7 by reducing into upper triangular form and using back substitution. 2x + y + 3z = 15 List all multipliers used and circle all pivots.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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6. Solve the system I +z=6 - 3y + z = 7 by reducing into upper triangular form and using back substitution. 2x + y + 3z = 15 List all multipliers used and circle all pivots.
Transcribed Image Text:6. Solve the system I +z=6 - 3y + z = 7 by reducing into upper triangular form and using back substitution. 2x + y + 3z = 15 List all multipliers used and circle all pivots.
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Step 1

Introduction:

A square matrix is referred to as a triangular matrix if all of the components below and/or above the diagonal are zeros. Most triangular matrices fall into one of two categories.

  • Lower triangular matrices are square matrices that have zero values for every element above the primary diagonal.
  • An upper triangular matrix is a square matrix that has zero values for every element below the principal diagonal.

 

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