Home
Class 12
MATHS
Let P=[(1,0,0),(3,1,0),(9,3,1)] and Q = ...

Let `P=[(1,0,0),(3,1,0),(9,3,1)]` and Q = `[q_(ij)]` be two `3xx3` matrices such that `Q - P^(5) = I_(3)`. Then `(q_(21)+q_(31))/(q_(32))` is equal to

A

52

B

103

C

201

D

205

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q_(ij)] and Q=P^5+I_3 then (q_21+q_31)/q_32 is equal to (A) 12 (B) 8 (C) 10 (D) 20

Let P=[[1,0,0],[4,1,0],[16,4,1]] and I be the identity matrix of order 3 . If Q = [q_()ij ] is a matrix, such that P^(50)-Q=I , then (q_(31)+q_(32))/q_(21) equals

Let A=[(1, 2),(3, 4)] and B=[(p,q),(r,s)] are two matrices such that AB = BA and r ne 0 , then the value of (3p-3s)/(5q-4r) is equal to

If P=[(6,-2),(4,-6):}] and Q = [{:(5,3),(2,0):}] find the matrix M such that 2Q - 3P - 3M =0

If P=[(lambda,0),(7,1)] and Q=[(4,0),(-7,1)] such that P^(2)=Q , then P^(3) is equal to

Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], where alpha in RR. Suppose Q=[q_(ij)] is a matrix such that PQ=kI, where k in RR, k != 0 and I is the identity matrix of order 3. If q_23=-k/8 and det(Q)=k^2/2, then

Let the matrices A=[{:( sqrt3,-2),(0,1):}] and P be any orthogonal matrix such that Q = PAP' and let Rne [r_0] _(2-2)=P'Q^(6) P then

Let the matrix A=[(1,2,3),(0, 1,2),(0,0,1)] and BA=A where B represent 3xx3 order matrix. If the total number of 1 in matrix A^(-1) and matrix B are p and q respectively. Then the value of p+q is equal to

If q_(1), _(2), q_(3) are roots of the equation x^(3)+64=0 , then the value of |(q_(1),q_(2),q_(3)),(q_(2),q_(3), q_(1)),(q_(3),q_(1),q_(2))| is :-

Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a nd""P^2Q""=""Q^2P , then determinant of (P^2+""Q^2) is equal to (1) 2(2) 1 (3)0 (4) 1