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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) = 0 implies rank( T ) = 0

B

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

C

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

D

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

Concepts

Matrices and Determinants

Vector Spaces

Linear Transformations

Inner Product Spaces