Home
Class 12
MATHS
The necessary and sufficient condition t...

The necessary and sufficient condition that any matrix `A=[{:(a,b),(c,d):}]` of order `2 times 2` has an inverse is-

A

ab-cd=0

B

ad-bc `ne` 0

C

ac-bd `ne`0

D

ad+bc `ne` 0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBHS ARCHIVE 2014|5 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBHS ARCHIVE 2015|7 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE ADVANCED ARCHIVE 2016|5 Videos

  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|13 Videos

Similar Questions

Explore conceptually related problems

Find the inverse of matrix: [(0,2),(3,1)]

The necessary and sufficient condition for the equation (1-a^2)x^2+2ax-1 =0 to have roots lying in the interval (0,1) is

Prove that a necessary and sufficient condition for three vectors vec a , vec b and vec c to be coplanar is that there exist scalars l , m , n not all zero simultaneously such that l vec a+m vec b+n vec c= vec0dot

Find the inverse of matrix: A = [(1,2),(-3,-1)]

The inverse of the matrix [(5,-2),(3,1)] is -

By using elementary operations, find the inverse of the matrix A=[(1,2),(2,-1)] .

Using the words " necessary and sufficient " rewrite the following two biconditional statements : The integer N is even if and only if N^(2) is even .

Using elementary transformation, find the inverse of the matrix A=[(a,b),(c,((1+bc)/a))] .

The inverse of the matrix [(1, 0,0),(a,1,0),(b,c,1)] is -

The multiplicative inverse of matrix [(2,1),(7,4)] is -