Linear Transformations Quiz

Linear Transformations Quiz

University

25 Qs

quiz-placeholder

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Linear Transformations Quiz

Linear Transformations Quiz

Assessment

Quiz

Mathematics

University

Practice Problem

Medium

Created by

Deepa Balan

Used 1+ times

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25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The image of a vector under a linear transformation lies in:

The domain

The null space

The codomain

The kernel

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The zero transformation maps:

Each vector to itself

Each vector to the zero vector

Only the zero vector to zero

Vectors to their additive inverses

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A linear transformation is completely determined by:

Its range

Its null space

Its action on a basis of the domain

Its matrix inverse

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The null space of a linear transformation is:

The set of all images

The set of all vectors mapped to zero

The set of all basis vectors

The domain of the transformation

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A linear transformation is said to be injective (one-to-one) if:

Every input has a unique output

Its null space is trivial

The range is the entire codomain

It is not invertible

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A transformation is surjective if:

Every output has a unique input

It has a non-trivial kernel

Every element of the codomain is in the range

It is not linear

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The matrix representation of a linear transformation depends on:

The function definition only

The domain and codomain

The choice of basis

The nullity of the transformation

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