Home
Class 12
MATHS
Let A=[a(ij)](3xx3) be such that a(ij)=[...

Let `A=[a_(ij)]_(3xx3)` be such that `a_(ij)=[{:(3, " when",hati=hatj),(0,,hati ne hatj):}" then " {("det (adj(adj A))")/(5)}` equals :
( where {.} denotes fractional part function )

A

`(2)/(5)`

B

`(1)/(5)`

C

`(2)/(3)`

D

`(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|5 Videos

  • MATRICES

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Matching Type Problems|4 Videos

  • LOGARITHMS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|19 Videos

  • PARABOLA

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|2 Videos

Similar Questions

Explore conceptually related problems

If A=[a_("ij")]_(4xx4) , such that a_("ij")={(2",","when "i=j),(0",","when "i ne j):} , then {("det (adj (adj A))")/(7)} is (where {*} represents fractional part function)

If A=[a_("ij")]_(4xx4) , such that a_("ij")={(2",","when "i=j),(0",","when "i ne j):} , then {("det (adj (adj A))")/(7)} is (where {*} represents fractional part function)

let A={a_(ij)}_(3xx3) such that a_(ij)={3 , i=j and 0,i!=j . then {det(adj(adjA))/5} equals: (where {.} represents fractional part)

Let A=[a_(ij)]_(5xx5) is a matrix such that a_(ij)={(3,AA i= j),(0,Aai ne j):} . If |(adj(adjA))/(3)|=(sqrt3)^(lambda), then lambda is equal to (where, adj(M) represents the adjoint matrix of matrix M)

If matrix A=[a_(ij)]_(2x2), where a_(ij)={{:(1"," , i ne j),(0",", i=j):} then A^(3) is equal to

If A=[a_(ij)]_(2xx2) where a_(ij)={{:(1",",if, I ne j),(0",", if,i=j):} then A^(2) is equal to

Let A=[a_(ij)]_(3xx3) be a scalar matrix and a_(11)+a_(22)+a_(33)=15 then write matrix A.

Prove that: (2hati+3hatj)xx(hati+2hatj)=hatk

If matrix A=[a_(ij)]_(2X2) , where a_(ij)={[1,i!=j],[0,i=j]}, then A^2 is equal to

If matrix A=[a_(ij)]_(2X2) , where a_(ij)={[1,i!=j],[0,i=j]}, then A^2 is equal to