Home
Class 12
MATHS
Verify (AB)^(-1)= B^(-1) A^(-1) for A = ...

Verify `(AB)^(-1)= B^(-1) A^(-1)` for A = `[(2,1),(5,3)]` and B= `[(4,5),(3,4)]`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (5 MARKS)|5 Videos
  • APPLICATION OF MATRICES AND DETERMINANTS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS (2 MARKS )|10 Videos
  • APPLICATION OF INTEGRATION

    SURA PUBLICATION|Exercise 5 MARKS|7 Videos
  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|35 Videos

Similar Questions

Explore conceptually related problems

Verify that (AB)^(T) = B^(T) A^(T) if A= [(2,3,-1),(4,1,5)] and B= [(1,-2),(3,-3),(2,6)]

Verify (AB)^(-1)=B^(-1)A^(-1) with A=[{:(0,-3),(1,4)],B=[(-2,-3),(0,-1):}]

Verify that (AB)^(T) = B^(T) A^(T) if A = ({:( 2 , 3 , -1) , (4 , 1 , 5):}) and B = ({:( 1 , 2) , ( 3 , -3) , (2 , 6)):}

Verify that det (AB) = (det A) (det B) for A=[(4,3,-2),(1,0,7),(2,3,-5)] and B =[(1,3,3),(-2,4,0),(9,7,5)] .

If A= [(1,0,3),(4,5,2)] and B = [(-1,2,5),(7,3,1)] find B - A

If adj A = [(2,3),(4,-1)] and adj B = [(1,-2),(-3,1)] then adj (AB) is

If A^(-1) ={:[( 3,-1,1),(-15,6,-5),(5,-2,2) ]:}and B= {:[( 1,2,-2),( -1,3,0),( 0,-2,1) ]:} , find (AB) ^(-1)

If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(4,1,2),(0,3,2),(1,-2,3)] , then compute (A+B) and (B-C) . Also, verify that A+(B-C)=(A+B)-C .

For the matrices A and B, verify that (AB)'=B'A' , where (i) A=[(1),(-4),(3)], B=[(-1,2,1)] (ii)A=[(0),(1),(2)],B=[(1,5,7)]