71. Test n. 3, Winter 2015. Consider the system of equations ka1 k +1 ka2 (k + 2)x2 + 8x2 + (k - 1)x3 9x3 x3 k + 1 (a) Write it in matrix form Ax = b. Compute the determinant of A and determine for which values of k the system admits a unique solution. (b) Using Cramer's rule solve the given system in case it admits a unique solution (the solution should be given in terms of k).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
icon
Related questions
Question
71. Test n. 3, Winter 2015. Consider the system of equations
ka1
k +1
ka2
(k + 2)x2 +
8x2 + (k - 1)x3
9x3
x3
k + 1
(a) Write it in matrix form Ax = b. Compute the determinant of A and determine for which values of k the
system admits a unique solution.
(b) Using Cramer's rule solve the given system in case it admits a unique solution (the solution should be given
in terms of k).
Transcribed Image Text:71. Test n. 3, Winter 2015. Consider the system of equations ka1 k +1 ka2 (k + 2)x2 + 8x2 + (k - 1)x3 9x3 x3 k + 1 (a) Write it in matrix form Ax = b. Compute the determinant of A and determine for which values of k the system admits a unique solution. (b) Using Cramer's rule solve the given system in case it admits a unique solution (the solution should be given in terms of k).
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning