Home
Class 12
MATHS
If A = [[1,-1,2],[3,0,-2],[1,0,3]] verif...

If `A = [[1,-1,2],[3,0,-2],[1,0,3]]` verify that `A(adjA) = (adjA)A = abs(A)I`,

Answer

Step by step text solution for If A = [[1,-1,2],[3,0,-2],[1,0,3]] verify that A(adjA) = (adjA)A = abs(A)I, by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • Matrices

    CHETANA PUBLICATION|Exercise EXERCISE|96 Videos

  • Mathematical Logic

    CHETANA PUBLICATION|Exercise EXERCISE|44 Videos

  • PROBABILITY DISTRIBUTIONS

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

Compute the adjoint of the matrix, A: [[1,4,5],[3,2,6],[0,1,0]] and verify that: A(AdjA) = abs(A)I .

If A=[[2,-3,4],[-1,0,3],[4,-5,-5]] then verify that (A')'= A

If A = [(1,2),(3,4)] verify that A (adj A) = (adj A) A = |A| I.

If A=[[1,2,0],[5,4,2],[0,7,-3]] find the product (A+I)(A-I)

If A = [[3,1,],[4,0]] , B = [[4,0],[2,5]] then verify that (AB)^-1 = B^-1A^-1 .

If A+I=[[1,2,0],[5,4,2],[0,7,-3]] find the product (A+I)(A-I)

Answer the following questions. If A=[[2,1],[0,3]],B=[[1,2],[3,-2]] ,verify that |AB|=|A||B|

If A=[[2,-1],[3,-2],[4,1]] and B=[[0,3,-4],[2,-1,1]] ,verify that (AB)^T=B^TA^T

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A+B)'=A'+B'

If A=[[2,-1,3],[4,0,5]] and B=[[-3,-2,-1],[-5,5,1]] .Verify that (A-B)'=A'-B'

Home
Profile