Home
Class 12
MATHS
Which of the following about the trace o...

Which of the following about the trace of a matrix is false? (1) `tr (ABC)=tr(BCA) != tr(ACB)= tr(BAC) = tr(CBA)` (2) `tr(AB) = tr(BA)` (3) `tr(A-B) = trA - trB` (4) `tr(A^2)= (trA)^2`

A

tr(ABC)-tr(BCA)=tr(ACB)=tr(BAC)=tr(CBA)

B

tr(AB)=tr(BA)

C

tr(A-B)trA-trB

D

`tr(A^(2))=(trA)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - C) Objective Type Questions (More than one options are correct)|7 Videos

  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - D) Linked Comprehension Type Questions|3 Videos

  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Objective Type Questions (One option is correct)|30 Videos

  • MATHEMATICAL REASONING

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION-D) (Assertion-Reason Type Questions)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section-J (Aakash Challengers Questions)|7 Videos

Similar Questions

Explore conceptually related problems

Let A and B be two 2 xx 2 matrix with real entries, If AB=0 and such that tr(A)=tr(B)=0then

Identify the incorrect statement in respect of two square matrices Aa n dB conformable for sum and product : a. t_r(A+B)=t_r(A)+t_r(B) b. t_r(alphaA)=alphat_r(A), in R c. t_r(A^T)=t_r(A) d. none of these

If A and B are two square matrices of the order 3, then the value of 998 tr(I)-999 tr(AB)+999tr (BA) is

tr interconversion is regulated by

Let a be a matrix of order 2xx2 such that A^(2)=O . tr (A) is equal to

If A=[(3,-4),(1,-1)] then find tr. (A^(2012)) .

According to the theory proposed by T.R. Malthus,

Consider A and B as 2xx2 matrices with determinant equal to 1 then tr(AB)-tr(A).tr(B)+tr(AB^(-1))+2 is_______

Let A be a 3 xx 3 diagonal matrix which commutes with ever 3xx3 matrix. If det (A) = 8 , then tr A is

If r=(6)/(3x+2) and tr=(2)/(3s+2) ,what is the value of t?