Home
Class 11
MATHS
If an upper triangular matrix A=[a](nxxn...

If an upper triangular matrix `A=[a]_(nxxn)` the elements `a_(1)=0` for

A

it is a square matrix and `a_(ij) =0,iltj`

B

it is a square matrix and `a_(ij) =0,igtj`

C

it is not a square matrix and `a_(ij)=0,igtj`

D

it is not a square matrix and `a_(ij) =0,iltj`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Assertion Reason Type|12 Videos
  • LOGARITHMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos
  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

A matrix A=[a_(ij)]_(mxxn) is

A matrix A=[a_(ij)] is an upper triangular matrix if (A) it is a square matrix with a_(ij)=0 for igtj (B) it is a square with a_(ij)=0 for iltj (C) it is not a square matrix with a_(ij)=0 for igtj (D) if is not a sqare matrix with a_(ij)=0 for iltj

Statement 1: The inverse of singular matrix A=([a_(i j)])_(nxxn), \ w h e r e \ a_(i j)=0,igeqj \ i s \ B=([a i j^-1])_(nxxn) . Statement 2: The inverse of singular square matrix does not exist.

Construct 3xx4 matrix A=[a_(aj)] whose elements are: a_(ij)=i.j

Construct 3xx4 matrix A=[a_(aj)] whose elements are: a_(ij)=i/j

Statement-1 (Assertion and Statement- 2 (Reason) Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. Statement-1 The determinant fo a matrix A= [a_(ij)] _(nxxn), where a_(ij) + a_(ji) = 0 for all i and j is zero. Statement- 2 The determinant of a skew-symmetric matrix of odd order is zero.

Construct a 3xx4 matrix A=[a_(i j)] whose elements a_(i j) are given by: (i) a_(i j)=j (ii) a_(i j)=1/2|-3i+j|

Construct a 3xx4 matrix A=[a_(i j)] whose elements a_(i j) are given by: ) a_(i j)=2i

Construct a 2xx2 matrix A=[a_(i j)] whose elements a_(i j) are given by: a_(i j)=i+j

Construct a 2xx3 matrix A=[a_(i j)] whose elements a_(i j) are given by: (i) a_(i j)=ixxj (ii) a_(i j)=2i-j