Home
Class 12
MATHS
If A=[[2, -3], [-4, 7]], then 2A^(-1)=...

If `A=[[2, -3], [-4, 7]]`, then `2A^(-1)=`

A

`8I-2A`

B

`9I-A`

C

`2I-2A`

D

`A-9I`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    NIKITA PUBLICATION|Exercise MCQs|101 Videos
  • MHT-CET 2017

    NIKITA PUBLICATION|Exercise MCQ|50 Videos

Similar Questions

Explore conceptually related problems

If A=[[2,-3],[-4,7]] and B=[[8,-2],[3,-1]] ,verify that (AB)^(t)=B^(t)A^(t)

If A+B=[[1,2,1],[1,1,-1],[-3,2,4]] and A-B=[[-2,3,7],[-4,1,0],[2,4,1]] then 2A+4B equals

Given A=[{:(2,-3),(-4,7):}] Assertion (A) : 2A^(-1)=9I-A Reason (R ) : A^(-1)=(1)/(|A|)(adjA)

If =[[2,3,4],[1,2,3],[4,-5,7]], B= [[2,5,-1],[3,-1,2],[7,2,-3]] , verify that (A+B)'=A'+B'

If A=[(2,1,3),(4,-1,0),(-7,2,1)] , find A^(-1) and hence solve the following system of equations: 2x+y+3z=3 4x-y=3 -7x+2y+z=2

If A={:[(4,-2),(3,-1),(2,5)]:}andB={:[(-7,2),(5,9),(3,4)]:} , then 2A+7B=

Let A=(2,3,5) and U={1,2,3,4,5,6,7,9} then A'=U-A i.e. A'={1,2,3,4,5,7,9}-{2,3,5} ={1,47,9} For any set A and universal set U, by the law of double complemention, (A')'=A

The inverse of the matrix [(2,3),(-4,7)] is (A) [(-2,-3),(4,-7)] (B) 1/26 [(7,-3),(4,2)] (C) [(7,4),(-3,2)] (D) [(7,-3),(4,2)]