Determine for what value of' k' the given system x + 2y -z = 1 x + 3y + z = 1 - 4x - 5y + (k²- 9)z = k + 1 Will have i) Unique solution i1) No solution ii1) Infinitely many solutions.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 72E: Find a system of two equations in three variables, x1, x2 and x3 that has the solution set given by...
icon
Related questions
Question

linear algebra

Determine for what value of k' the given system
x + 2y -z = 1
x + 3y + z = 1
- 4x - 5y + (k²– 9)z = k + 1
Will have
i)
Unique solution
i1)
No solution
iii)
Infinitely many solutions.
Transcribed Image Text:Determine for what value of k' the given system x + 2y -z = 1 x + 3y + z = 1 - 4x - 5y + (k²– 9)z = k + 1 Will have i) Unique solution i1) No solution iii) Infinitely many solutions.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Linear Equations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning