If `AB = KI`, where `K in R`, then `A^-1=`

let '*' be a binary operation on R defined by a*b = a+b + ab, where a, b inR , then the value of 1*(2*3) is

Let A be an n order square matrix and B be its adjoint, then |AB + KI_(n)| , where K is a scalar quantity. a) (|A| + K)^(n-2) b) (|A| +K)^(n) c) (|A| + K)^(n - 1) d)None of these

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

Two complex numbers A and B, are where k is a constant. If AB-15=60 , what is the value of k? (Note: i^(2)=-1 )

If f_(k) (x) = (1)/(k)(sin^(k) x + cos^(k)x) where x in R,k le 1 the f_(4)(x)-f_(6)(x)=

If log x=2log(x+k) where x in R^(+) and kis a positive real number then true act of values of k is