Home
Class 12
MATHS
If {:A=[(a,0,0),(0,b,0),(0,0,c)]:}," the...

If `{:A=[(a,0,0),(0,b,0),(0,0,c)]:}," then "A^(-1)`, is

A

`[(a,0,0),(0,(1)/(b),0),(0,0,c)]`

B

`[((1)/(0),0,0),(0,(1)/(b),0),(0,0,c)]`

C

`[(a,0,0),(0,(1)/(b),0),(0,0,(1)/(c))]`

D

`[((1)/(a),0,0),(0,(1)/(b),0),(0,0,(1)/(c))]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    TARGET PUBLICATION|Exercise CLASSICAL THINKING (2.3 APPLICATION OF MATRICES)|3 Videos
  • MATRICES

    TARGET PUBLICATION|Exercise CLASSICAL THINKING (MISCELLANEOUS)|2 Videos
  • MATHEMATICAL LOGIC

    TARGET PUBLICATION|Exercise EVALUATION TEST|14 Videos
  • MHT-CET 2019 QUESTION PAPER

    TARGET PUBLICATION|Exercise Binomial Distribution|1 Videos

Similar Questions

Explore conceptually related problems

If the matrix {:[(a+b,0,0),(0,b+c,0),(0,0,c+a)]:} , (where a,b,c are positive integers) is a scalar matrix, then the value of (a+b+c) can be

If A=[(alpha, 0,0),(0,b,0),(0,0,c)] and a,b,c are non zero real numbers, then A^-1 is (A) 1/(abc) [(1,0,0),(0,1,0),(0,0,1)] (B) 1/(abc) [(a,0,0),(0,b,0),(0,c,0)] (C) 1/(abc) [(a^-1,0,0),(0,b^-1,0),(0,c^-1,1)] (D) [(a^-1,0,0),(0,b^-1,0),(0,c^-1,1)]

If A=[(0,0,0,0),(0,0,0,0),(1,0,0,0),(0,1,0,0)] then (A) A^2=I (B) A^2=0 (C) A^3=0 (D) none of these

If a, b, c are non-zero real numbers, then the inverse of the matrix A=[{:(a,0,0),(0,b,0),(0,0,c):}] is equal to

If a,b,c are non-zero real numbers, then the inverse of the matrix A=[{:(a,0,0),(0,b,0),(0,0,c):}] is equal to :

If A={:[(3,2,7),(1,1,4),(-1,-1,0)]:},B={:[(1,0,3),(2,1,0),(0,-1,-3)]:}andC{:[(1,0,0),(0,1,0),(0,0,1)]:} , then find 2A+3B-7C.