Question a Discass the consistency os the following equations 2x+ 34 14z = 1) X + 5y t 7z = 15 3x +1ly+13z = 25 If found consistent , solve it · b Express the fəllowing system of equations in matrix form and solve them by Gau ss -Jordan £Limination Method 2xty+2ztw =6 6x -6y t6z +12w = 36 4x +34 + 32-3W = - ! 2x+2y-z +w=10 c. Reduce to diagonal form the following symmetric matrix by congTuent transformation and interpret th result in terms of quadratic form 3 A = -- 2 2 3. 3 1-1

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
a Discuss the con sistency os the following equations
2x+ 34 +4z = |}
X + 5y + 7z = 15
3x + ily+13z = 25
IF found consistent, solve it:
b Express the following system of equations in matrix
form and solve them by Gauss-Tordan £limination
Method
2xtyt2ztw = 6
6x -6y t6z +iaw = 36
4x +3y + 3z - 3W = - 1
2x+2y -z =10
c. Reduce to diagonal form the following symmatric
matrix by congvuent transformation and interpret the
result
in terms of quadratic form:
3
A =
2.
3
3
Transcribed Image Text:Question a Discuss the con sistency os the following equations 2x+ 34 +4z = |} X + 5y + 7z = 15 3x + ily+13z = 25 IF found consistent, solve it: b Express the following system of equations in matrix form and solve them by Gauss-Tordan £limination Method 2xtyt2ztw = 6 6x -6y t6z +iaw = 36 4x +3y + 3z - 3W = - 1 2x+2y -z =10 c. Reduce to diagonal form the following symmatric matrix by congvuent transformation and interpret the result in terms of quadratic form: 3 A = 2. 3 3
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