Consider the system of equations : x + a...

Consider the system of equations : `x + ay = 0, y + az = 0` and `z + ax=0`. Then the set of all real values of 'a' for which the system has a unique solution is :

R-{1}

R-{-1}

{1,-1}

{1,0,-1}

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MATRICES
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos
MATRICES
MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos
MATHEMATICAL REASONING
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos
PARABOLA
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

Consider the system of equations x+a y=0,\ y+a z=0.\ Then the set of all real values of ' a ' for which the system has a unique solution is: {1,\ -1} b. \ R-{-1} c. \ {1,\ 0,\ -1} d. R-{1}

Consider the system of linear equations - x + y + 2z = 0 3x - ay + 5z = 1 2x - 2y - az = 7 Let S_1 be the set of all a in R for which the system is inconsistent and S_2 be the set of all a in R for which the system has infinitely many solutions. If n(S_1) and n(S_2) denote the number of elements in S_1 and S_2 respectively, then

The system of equations ax + y + z = 0 , -x + ay + z = 0 and - x - y + az = 0 has a non-zero solution if the real value of 'a' is

Write the values of k for which the system of equations x+ky=0,2x-y=0 has unique solution.

Consider the system of equations alphax+y+z = p, x+alphay+z=q and x+y+alphaz=r , then the sum of all possible distinct value(s) of alpha for which system does not possess a unique solution is

If the system of equations bx + ay = c, cx + az = b, cy + bz = a has a unique solution, then

Consider the linear equations ax +by+cz=0,bx+cy+az=0 and cx+ay+bz=0

The system of equations AX=D has unique solution if

MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. AIEEE /JEE Main Papers

If the system of linear equations x1 + 2x2 + 3x3 = 6, x1 + 3x2 + 5x3 =...
Text Solution
|
If p, q, r are 3 real number satisfying the matrix equation, [p q r][[...
Text Solution
|
Consider the system of equations : x + ay = 0, y + az = 0 and z + ax=0...
Text Solution
|
let A ={{:({:(a(11),a(12)),(a(21),a(22)):}):a(ij){0,1,2} and a(11)=a(2...
Text Solution
|
The matrix A^2 + 4 A-5I, where I is identity matrix and A = [[1,2],[4,...
Text Solution
|
Let A be a 2xx2 matrix with non-zero entries and let A^2=""I , whe...
Text Solution
|
If A is an 3xx3 non-singular matrix such that A A^T=A^TA and B=A^(-1)A...
Text Solution
|
If B is a 3xx3 matrics such that B^2=0 then det[(1+B)^(50)-50B]=0
Text Solution
|
Let a be a 3xx3 matric such that [(1,2,3),(0,2,3),(0,1,1)]=[(0,0,1),...
Text Solution
|
If A=[(1,2,x),(3,-1,2)] and B=[(y),(x),(1)] be such that AB=[(6),(8)],...
Text Solution
|
Let A and B be any two 3xx3 matrices . If A is symmetric and B is skew...
Text Solution
|
If A=[1 2 2 2 1-2a2b] is a matrix satisfying the equation AA^T=""9I , ...
Text Solution
|
If A is a 3xx3 such that |5.adj(A)|=5 then |A| is equal to
Text Solution
|
If A = [(0,-1),(1,0)] then which one of the following statement is not...
Text Solution
|
If A=[5a-b3 2] and A adj A=AA^T , then 5a+b is equal to: (1) -1 (2) ...
Text Solution
|
If P=[[sqrt(3)/2,1/2],[-1/2,sqrt(3)/2]], A=[[1,1],[0,1]] and Q=PAP^T, ...
Text Solution
|
If {:A=[(-4,-1),(3,1)]:}, then the determint of the matrix (A^2016-2A^...
Text Solution
|
Let A be a 3xx3 matrix such that A^2-5A+7I=0 then which of the stateme...
Text Solution
|
If S is the set of distinct values of ' b for which the following syst...
Text Solution
|
If A=|{:(,2,-3),(,-4,1):}| then adj (3A^(2)+12A) is equal to
Text Solution
|