Home
Class 12
MATHS
If A=[(1,2,-1),(-1,1,2),(2,-1,1)], then ...

If `A=[(1,2,-1),(-1,1,2),(2,-1,1)]`, then det (adj (adjA)) is

A

`14^(4)`

B

`14^(3)`

C

`14^(2)`

D

14

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|9 Videos
  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|19 Videos
  • MATHEMATICAL INDUCTION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|29 Videos

Similar Questions

Explore conceptually related problems

If A=[(1,2,0),(-1,1,2),(2,-1,1)] then det (Adj(AdjA))= (A) 13 (B) 13^2 (C) 13^4 (D) none of these

If A=[(2, 1,-1),(3, 5,2),(1, 6, 1)] , then tr(Aadj(adjA)) is equal to (where, tr (P) denotes the trace of the matrix P i.e. the sum of all the diagonal elements of the matrix P and adj(P) denotes the adjoint of matrix P)

If [{:( 1,2,3),(1,3,5),(1,5,12):}] then adj (adj A) is

Let A=[(x,2,-3),(-1,3,-2),(2,-1,1)] be a matrix and |adj(adjA)|=(12)^(4) , then the sum of all the values of x is equal to

Statement -1 : if {:A=[(3,-3,4),(2,-3,4),(0,-1,1)]:} , then adj(adj A)=A Statement -2 If A is a square matrix of order n, then adj(adj A)=absA^(n-2)A

If {:A=[(0,1,-1),(2,1,3),(3,2,1)]:} then (A(adj A)A^(-1))A=

First row of a matrix A is [1,3,2] . If adj A=[(-2,4,alpha),(-1,2,1),(3alpha,-5,-2)] , then a det (A) is

Let A=[{:(1,-2,-3),(0,1,0),(-4,1,0):}] Find adj A.

If A=|{:(1,1,1),(1,2,-3),(2,-1,3):}| , then show that A. (ajd.A)= (adj.A)A.

If A=[{:(1,-1,1),(0,2,-3),(2,1,0):}] and B=(adjA) and C=5A , then find the value of (|adjB|)/(|C |)