Which of the following statements are correct for the solution of the system of linear equations kx + y +z = 3 (k – 1) x + 2y + kz =2 ? -x +y +z = 1 I. For k = -1 and k = 2 the Inverse Matrix Method cannot be used. %3D II. For k = 1 the determinant of the coefficient matrix is 2 and y = 0. III. For k = 2 the system is inconsistent. (a) Only I (b) Only II (c) Only I and III (d) Only I and II (e) I, II and III
Which of the following statements are correct for the solution of the system of linear equations kx + y +z = 3 (k – 1) x + 2y + kz =2 ? -x +y +z = 1 I. For k = -1 and k = 2 the Inverse Matrix Method cannot be used. %3D II. For k = 1 the determinant of the coefficient matrix is 2 and y = 0. III. For k = 2 the system is inconsistent. (a) Only I (b) Only II (c) Only I and III (d) Only I and II (e) I, II and III
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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![Which of the following statements are correct for the solution of the system of linear equations
kx + y +z = 3
(k – 1) x+2y + kz = 2 ?
-x +y +z = 1
I. For k = -1 and k = 2 the Inverse Matrix Method cannot be used.
II. For k = 1 the determinant of the coefficient matrix is 2 and y = 0.
III. For k = 2 the system is inconsistent.
(a) Only I
(b) Only II
(c) Only I and III
(d) Only I and II
(e) I, II and III](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87c31bbb-dfd4-45e8-9a77-eb760a70a9af%2F7cbda186-695b-49c4-bd80-14450d2ff420%2Frxvchhd_processed.png&w=3840&q=75)
Transcribed Image Text:Which of the following statements are correct for the solution of the system of linear equations
kx + y +z = 3
(k – 1) x+2y + kz = 2 ?
-x +y +z = 1
I. For k = -1 and k = 2 the Inverse Matrix Method cannot be used.
II. For k = 1 the determinant of the coefficient matrix is 2 and y = 0.
III. For k = 2 the system is inconsistent.
(a) Only I
(b) Only II
(c) Only I and III
(d) Only I and II
(e) I, II and III
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