Practice Linear Algebra - CSIR-UGC NET Offered by Unacademy

SELF STUDY

Browse Practice Tests Playlist Doubts & solutions Free live classes Other courses

Linear Algebra

Quick practice

Question 1 of 5

Let T be a non-zero $n \times n$ real matrix with $n \geq 2$ . Which of the following implications is true ?

A

det (T) = 1 implies rank $(\mathrm{T}) \neq 1$

B

rank(T) = 1 implies det $(\mathrm{T}) \neq 0$

C

det(T) = 0 implies rank( T ) = 0

D

rank(T) =n implies det $(\mathrm{T}) \neq 1$

Concepts

Matrices and Determinants

Vector Spaces

Linear Transformations

Inner Product Spaces