Homework Help is Here – Start Your Trial Now!
Math
Algebra
SX1 + hx2 = 2 6. Find the conditions on h and k such that the system is (3x1 + 2x2 = k inconsistent:

SX1 + hx2 = 2 6. Find the conditions on h and k such that the system is (3x1 + 2x2 = k inconsistent:

Algebra and Trigonometry (6th Edition)
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,...
See similar textbooks
icon
Related questions
Question
Please answer correctly
SX1 + hx2 = 2 6. Find the conditions on h and k such that the system is (3x1 + 2x2 = k inconsistent: 7. If the eigenvalues of a 3×3 matrix A are 1,2,4, then det(24)= and det(|4"|4² )= 8. If A is 6×7 and dim Nul A=4, then Rank A= 9. If the entries of a 4x4 determinant D in row 4 are 1,2,3,4 and the corresponding minors are 1,1,2,2, respectively, then D= 10. If a non-zero vector p is in Nul A, then the eigenvalue of A corresponding to p is 11. If the coordinate vector of w in R? relative to (1,-1)" and (2,1)" is (1,2)", then w= 12. Find A-l= for A satisfying A² – 2A–21 = O. 1 13. Two matrices G and 2 2 1 -3 are similar for x= -3 2 14. Suppose u = (1, –1, 1)' and A is a 3×3 orthogonal matrix, then a unit vector with the same direction as u is and the length of Au is 15. For x= the vector u=(1,1,-2)' is orthogonal to v=(2,x,1)".
Transcribed Image Text:SX1 + hx2 = 2 6. Find the conditions on h and k such that the system is (3x1 + 2x2 = k inconsistent: 7. If the eigenvalues of a 3×3 matrix A are 1,2,4, then det(24)= and det(|4"|4² )= 8. If A is 6×7 and dim Nul A=4, then Rank A= 9. If the entries of a 4x4 determinant D in row 4 are 1,2,3,4 and the corresponding minors are 1,1,2,2, respectively, then D= 10. If a non-zero vector p is in Nul A, then the eigenvalue of A corresponding to p is 11. If the coordinate vector of w in R? relative to (1,-1)" and (2,1)" is (1,2)", then w= 12. Find A-l= for A satisfying A² – 2A–21 = O. 1 13. Two matrices G and 2 2 1 -3 are similar for x= -3 2 14. Suppose u = (1, –1, 1)' and A is a 3×3 orthogonal matrix, then a unit vector with the same direction as u is and the length of Au is 15. For x= the vector u=(1,1,-2)' is orthogonal to v=(2,x,1)".
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS