If `A=[0 1 0 0 0 1p q r]` and `I` is the identity matrix of order 3, show that `A^3=p I+q A+r A^2` .

Let P=[[1,0,04,1,016,4,1]] and I be the identity matrix of order 3. If Q=[qij] is a matrix, such that P^(50)-Q=I, then (q_(31)+q_(32))/(q_(21)) equals

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 P = {:[(1,0,0),(4,1,0),(16,4,1)] and I be te identity matrix of order 3. If Q = [q_(ij)] is A matrix such that P(50)-Q=I is then q31+q32/q21. The value of

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