Consider the following system of linear equationsNotice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? - EduRev Computer Science Engineering (CSE) Question

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Consider the following system of linear equat...

Join the Discussion on the App

Consider the following system of linear equations

Notice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?

a)
0
b)
1
c)
2
d)
3

Correct answer is option 'B'. Can you explain this answer?

FREE This question is part of

Test: Linear Algebra- 2

Attempt Test

Attempt this Test

Verified Answer

Consider the following system of linear equationsNotice that the secon...

Determinant=0. Therefore apply reduction method on (A|B)

obtain the resultant matrix

or infinitely many solutions, we must have 2+1.5a=0 i.e., a=-4/3 so for only 1 value of a, this system has infinitely many solutions. So option (B) is correct.

View all questions of this test

View all answers Start learning for free

< Previous Question Next Question >

Explore Courses for Computer Science Engineering (CSE) exam

Similar Computer Science Engineering (CSE) Doubts

The matrix of coefficients either have no solution or have infinite solutions is system of equations are

View answer

The function f is defined as follows:int f (int n) { if (n <= 1) return 1; else if (n % 2 == 0) return f(n/2); else return f(3n - 1);}Assuming that arbitrarily large integers can be passed as a parameter to the function, consider the following statements.1. The function f terminates for finitely many different values of n ≥ 1.ii. The function f terminates for infinitely many different values of n ≥ 1.iii. The function f does not terminate for finitely many different values of n ≥ 1.iv. The function f does not terminate for infinitely many different values of n ≥ 1.Which one of the following options is true of the above?

View answer

The function f is defined as follows:int f (int n) {if (n = 1) return 1;else if (n % 2 == 0) return f(n/2);else return f(3n - 1);}Assuming that arbitrarily large integers can be passed as a parameter to the function, consider the following statements.i. The function f terminates for finitely many different values of n 1.ii. The function f terminates for infinitely many different values of n 1.iii. The function f does not terminate for finitely many different values of n 1.iv. The function f does not terminate for infinitely many different values of n 1.Which one of the following options is true of the above?A. i and iiiB. i and ivC. ii and iiiD. ii and iv

View answer

The function f is defined as follows:Assuming that arbitrarily large integers can be passed as a parameter to the function, consider the following statements.1. The function f terminates for finitely many different values of n 1.ii. The function f terminates for infinitely many different values of n 1.iii. The function f does not terminate for finitely many different values of n 1.iv. The function f does not terminate for infinitely many different values of n 1.Which one of the following options is true of the above?

View answer

The number of values of k for which the system of equations (k + 1) x + 8y = 4k, kx + (k + 3)y = 3k – 1 has infinitely many solutions, is

View answer

Top Courses for Computer Science Engineering (CSE)View all

GATE Computer Science Engineering(CSE) 2025 Mock Test Series

Question Bank for GATE Computer Science Engineering

Programming and Data Structures

Top Courses for Computer Science Engineering (CSE)

View all

Consider the following system of linear equationsNotice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer?

Share with a Friend

Answer this doubt

Question Description
Consider the following system of linear equationsNotice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider the following system of linear equationsNotice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following system of linear equationsNotice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer?.

Solutions for Consider the following system of linear equationsNotice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.

Here you can find the meaning of Consider the following system of linear equationsNotice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider the following system of linear equationsNotice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Consider the following system of linear equationsNotice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Consider the following system of linear equationsNotice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider the following system of linear equationsNotice that the second and the third columns of the coefficient matrix are linearly dependent. For how many values of , does this system of equations have infinitely many solutions?a)0b)1c)2d)3Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.

Explore Courses for Computer Science Engineering (CSE) exam