Linear Algebra Properties

Linear Algebra Properties

1st Grade

9 Qs

quiz-placeholder

Similar activities

PERTENENCIA Y NO PERTENENCIA

PERTENENCIA Y NO PERTENENCIA

1st - 12th Grade

10 Qs

EXAMEN DE MATEMATICA

EXAMEN DE MATEMATICA

1st - 10th Grade

10 Qs

Bangun Datar

Bangun Datar

1st - 6th Grade

10 Qs

Examen diagnóstico Matemáticas V

Examen diagnóstico Matemáticas V

1st Grade

10 Qs

Đường thẳng B1

Đường thẳng B1

1st - 5th Grade

10 Qs

matematika kpk

matematika kpk

1st - 5th Grade

10 Qs

TEST MATEMATICAS GRADO 1°

TEST MATEMATICAS GRADO 1°

1st Grade

14 Qs

POLINOMIAL 1

POLINOMIAL 1

1st Grade

10 Qs

Linear Algebra Properties

Linear Algebra Properties

Assessment

Quiz

Mathematics

1st Grade

Practice Problem

Easy

CCSS
HSN.VM.C.9, HSN.VM.C.10

Standards-aligned

Created by

Wyatt Beals

Used 1+ times

FREE Resource

AI

Enhance your content in a minute

Add similar questions
Adjust reading levels
Convert to real-world scenario
Translate activity
More...

9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let A be an m × n matrix and x and y two n-vectors. If Ax = 5 and
Ay = 3, what is A(x − y)?

2

15

8

-2

Tags

CCSS.HSN.VM.C.9

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let V be a vector space. Which of the following are not true?
(a) The multiplication of any two vectors in V is a vector in V .
(b) There is a vector ~x ∈ V such that for all vectors ~y ∈ V , ~x + ~y = ~y.
(c) The sum of any two vectors in V is a vector in V .
(d) For any real number c ∈ R and any vector ~x ∈ V , c~v is a vector
in V .

(a) The multiplication of any two vectors in V is a vector in V .


(b) There is a vector ~x ∈ V such that for all vectors ~y ∈ V , ~x + ~y = ~y.


(c) The sum of any two vectors in V is a vector in V

d) For any real number c ∈ R and any vector ~x ∈ V , c~v is a vector
in V .

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let A, B be invertible 50 × 50 matrices. Which of the following is not
true?

(a) The inverse of A is unique.

(b) (AB)^−1 = A−1^B^−1.

(c) (BT )^−1 = (B^−1)^T .

(d) The inverse of B can be written as a product of elementary matrices.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Consider two subspaces A and B of the larger vector space V . If V =
A + B, dim A = m, dim B = n, and dim(A ∩ B) = k, then what is the
dimension of V ?

(a) m + n

b) m − n − k

(c) m + n − k

(d) mn − k

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Consider two subspaces A and B of the larger vector space V . If V =
A ⊕ B, dim A = m, and dim V = n, then what is the dimension of B?

(a) mn

(b) m − n

(c) m + n

(d) n − m

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(True of False) Let U be an orthogonal matrix. That is, U is square
and U>U = UU> = I. If ~x ⊥ ~y, then U~x ⊥ U~y. (The symbol ⊥ means
“perpindicular.”)

True

False

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

(True of False) Let U be an orthogonal matrix. That is, U is square
and U>U = UU> = I. If U~x = ~y, then the length of ~x equals the
length of ~y.

True

False

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?