Let P=[a("ij")] be a 3xx3 matrix and let...

Let `P=[a_("ij")]` be a `3xx3` matrix and let `Q=[b_("ij")]`, where `b_("ij")=2^(i+j) a_("ij")` for `1 le i, j le 3`. If the determinant of P is 2, then the determinant of the matrix Q is

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

DETERMINANTS
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS|41 Videos
DEFINITE INTEGRALS
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos
DIFFERENTIABILITY AND DIFFERENTIATION
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

Similar Questions

Explore conceptually related problems

Let P = [a_(ij)] " be a " 3 xx 3 matrix and let Q = [b_(ij)], " where " b_(ij) = 2^(I +j) a_(ij) " for " 1 le i, j le 3 . If the determinant of P is 2, then the determinant of the matrix Q is

Let P=[a]"be a "3xx3 matrix and let Q=[b]=2^(i+j)a_(i) "for" 1 lei, j le 3 , If the determinant of P is 2, then the determinant of the matrix Q is:

Let A=[a_(ij)] and B=[b_(ij)] be two 3xx3 real matrices such that b_(ij)=(3)(i+j-2)a_(ji) , where i, j = 1,2,3. If the determinant of B is 81, then the determinant of A is :

Let A=[a_(ij)] be a square matrix of order 3 and B=[b_(ij)] be a matrix such that b_(ij)=2^(i-j)a_(ij) for 1lei,jle3, AA i,j in N . If the determinant of A is same as its order, then the value of |(B^(T))^(-1)| is

Let A=[a_(ij)] and B=[b_(ij)] be two 3times3 real matrices such that b_(ij)=(3^(i+j-2))a_(ji) , where i,j=1,2,3 . If the determinant of B is 81 , then the determinant of A is

Let A=[a_(ij)] and B=[b_(ij)] be two 3times3 real matrices such that b_(ij)=(3)^(i+j-2)a_(ji), where i , j=1,2,3 .if the determinant of B is 81 ,then the determinant of A is

Let A=[a_(ij)] and B=[b_(ij)] be two 3times3 real matrices such that b_(ij)=(3)^((i+j-2))a_(ji) ,where i,j=],[1,2,3 .If the determinant of B is 81 ,then the determinant of A is

Let A= [a_(ij)] and B=[b_(ij)] be two 3times3 real matrices such that b_(ij)=(3)^((i+j-2))a_(ji) ,where i,j=1,2,3 .If the determinant of B is 81 ,then the determinant of A is

If A=[a_(ij)] is a 2xx2 matrix such that a_(ij)=i+2j, write A

MCGROW HILL PUBLICATION-DETERMINANTS-QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS

If the system of equations x+y+z=0 ax+by+z=0 bx+y+z=0 has a no...
Text Solution
|
The system of linear equations (lamda+3)x+(lamda+2)y+z=0 3x+(lamda...
Text Solution
|
If Delta(k)=|(2(3^(k-1)),3(4^(k-1)),4(5^(k)-1)),(alpha, beta, gamma)...
Text Solution
|
Let P=[a("ij")] be a 3xx3 matrix and let Q=[b("ij")], where b("ij")=2^...
Text Solution
|
Let Delta(r)=|(2^(r-1),2(3^(r-1)),4(5^(r-1))),(alpha, beta, gamma),(2^...
Text Solution
|
If x(1),x(2),x(3),……………..x(13) are in A.P. then the value of |(e^(x(...
Text Solution
|
Find the value of determinat |{:(sqrt(13)+sqrt(3),2sqrt(5),sqrt(5)),(...
Text Solution
|
If the system of linear equations x+2ay +az =0,x+3by+bz =0 and x+4cy ...
Text Solution
|
In a Delta ABC " if " |(1,a,b),(1,c,a),(1,b,c)| =0, then sin^(2) A + s...
Text Solution
|
The system of lienar equations x-y+z=1 x+y-z=3 x-4y+4z=alpha has
Text Solution
|
For all values of theta in(0,pi/2), the determinant of the matrix [(...
Text Solution
|
Les S the set of all real values of a for which the following system o...
Text Solution
|
|(2x,xy-xz,y),(2x+z+1,xy-xz+yz-z^2,1+y),(3x+1,2xy-2xz,1+y)| is equal t...
Text Solution
|
Let S be the set of all real values of lamda for which the system of l...
Text Solution
|
Ifthe equations a(y +z) =x,b(z+x) = y, c (x + y) = z have nontrivial...
Text Solution
|
The value of a for whch the sytem of equations x+ay+z=1 ax+y+z=1 ...
Text Solution
|
If the system of linear equations x+4y-3z=2 2x+7y-4z=alpha -x-5y...
Text Solution
|
The number of solutions of the equation 3x-y-z=0 -3x+2y+z=0 -3x+...
Text Solution
|