Home
Class 12
MATHS
(i)Prove that (adj adjA)-|A|^(n-2)A (i...

(i)Prove that (adj adjA)-`|A|^(n-2)A`
(ii) Find the value of |adj adj adj A| in terms of |A|

Text Solution

Verified by Experts

The correct Answer is:
(i)`|A|^((n-1)^(3))`
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise SECTION-D|17 Videos
  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise PART-II|26 Videos
  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise SECTION-B|18 Videos
  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos
  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

Prove that ("adj. "A)^(-1)=("adj. "A^(-1)) .

If A is a square matric of order 5 and 2A^(-1)=A^(T) , then the remainder when |"adj. (adj. (adj. A))"| is divided by 7 is

If A is a square matrix of order 2 and |A| = 8 then find the value of | adj(A)|

If matrix A=[(2,2),(2,3)] then the value of [adj. A] equals to :

If A and B are square matrices of order 3 such that |A| = 3 and |B| = 2 , then the value of |A^(-1) adj(B^(-1)) adj (3A^(-1))| is equal to

A is a square matrix of order 3 and | A | = 7, write the value of |Adj A| is :

Let A be a 2xx 2 matrix with real entries and det (A)= 2 . Find the value of det ( Adj(adj(A) )

Let A and B be two square matrices of order 3 such that |A|=3 and |B|=2 , then the value of |A^(-1).adj(B^(-1)).adj(2A^(-1))| is equal to (where adj(M) represents the adjoint matrix of M)

If A is an invertible square matrix of the order n such that |A| ne1 and |adj(adjA)|=|A|^((2n^(2)-7n+7)) then the sum of all possible values of n is

If A is an invertible square matrix of order 3 and | A| = 5, then the value of |adj A| is .............