Home
Class 12
MATHS
If a, b in {-2,-1,0,1,2} then find the p...

If `a, b in {-2,-1,0,1,2}` then find the probalility that the matrix `(a/b b/a)` is singular.

Text Solution

Verified by Experts

The correct Answer is:
`n(B) = 5^(2) =25`
Promotional Banner

Topper's Solved these Questions

  • ARCHIVE

    CHHAYA PUBLICATION|Exercise WBJEE Archive|13 Videos

  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive|6 Videos

  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2016)|1 Videos

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE ADVANCED ARCHIVE 2016|5 Videos

  • BINARY OPERATION

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

If A=[(3,-2),(4,-1)] , then find all the possible values of lambda such that the matrix (A-lambdaI) is singular.

If A=[{:(1,5),(7,12):}] and B=[{:(9,1),( 7,8):}] then find a matrix C such that 3A+5B+2C is a null matrix.

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

If A ,\ B are square matrices of order 3,\ A is non-singular and A B=O , then B is a (a) null matrix (b) singular matrix (c) unit matrix (d) non-singular matrix

If A={:[(1,-2,2),(0,1,-1),(0,0,1)]:} and B={:[(1,2,0),(2,3,-1),(0,-1,-2)]:}, then show that, (A'B)A is a diagonal matrix.

Let a and b be two real numbers such that a > 1, b >1. If A=((a,0),(0,b)), then (lim)_(n->oo) A^-n is (a) unit matrix (b) null matrix (c) 2I (d) non of these

if b+c=a^2, c+a=b^2 and a+b=c^2 then find the value of 1/(1+a) + 1/(1+b) +1/(1+c)

If A is a matrix such that A^2+A+2I=Odot, the which of the following is/are true? (a) A is non-singular (b) A is symmetric (c) A cannot be skew-symmetric (d) A^(-1)=-1/2(A+I)

Find the value of x for which the matrix A=[(2//x,-1,2),(1,x,2x^(2)),(1,1//x,2)] is singular.

If A'=[(-2,3),(1,2)] and B=[(-1,0),(1,2)] then find (A+2B)'