Home
Class 11
MATHS
Let A=[a(ij)] be a matrix of order 3 suc...

Let `A=[a_(ij)]` be a matrix of order `3` such that `AP=2I` where "I" is an identity matrix of order `3` and `qquad P=[[1,2,3],[0,1,4],[0,0,1]].` Identify which of the following statement `(s)` is (are) correct? `[ Note: adj.(M) denotes adjoint matrix of matrix ,M and Tr.(M) denotes trace of matrix M.]

Promotional Banner

Similar Questions

Explore conceptually related problems

Let A=[a_(ij)] be square matrix of order 3 satisfying A+adj(A)=alpha A^(T). Identify which of the following statement (s) is (are) correct?

If I_(3) is identity matrix of order 3, then I_(3)^(-1)=

Let A be a matrix of order 3 such that A^(2)=3A-2I where, I is an identify matrix of order 3. If A^(5)=alphaa+betaI , then alphabeta is equal to

If A is a matrix of order 3, such that A(adj A)=10I, then |adj A|=

If M is a 3xx3 matrix such that M^(2)=O , then det. ((I+M)^(50)-50M) where I is an identity matrix of order 3, is equal to:

A matrix of order 3xx3 has determinant 2. What is the value of |A(3I)| , where I is the identity matrix of order 3xx3 .

If M is a 3times3 matrix such that M^(2)=0 ,then det ((I+M)^(50)-50M) where I is an identity matrix of order 3, is equal to.

A square matrix M of order 3 satisfies M^(2)=I-M , where I is an identity matrix of order 3. If M^(n)=5I-8M , then n is equal to _______.

If M is a 3xx3 matrix, where det M = I and M M^(T) = I, where I is an identity matrix, prove that det(M-I) = 0