
Linear Algebra Properties
Quiz
•
Mathematics
•
1st Grade
•
Practice Problem
•
Easy
Standards-aligned
Wyatt Beals
Used 1+ times
FREE Resource
Enhance your content in a minute
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

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever
or continue with

Microsoft
%20(1).png)
Apple
Others
Already have an account?
Similar Resources on Wayground
10 questions
Bilangan Cacah Besar
Quiz
•
1st - 5th Grade
9 questions
2年级数学减法应用题
Quiz
•
1st Grade
9 questions
RAZONAMIENTO lOGICO
Quiz
•
1st Grade - University
10 questions
Ecuații de gr 2
Quiz
•
1st - 10th Grade
10 questions
INECUACIONES CON VALOR ABSOLUTO
Quiz
•
1st - 5th Grade
10 questions
MATLAB Onramp Uniroma2
Quiz
•
1st Grade
14 questions
MFM_Evaluacion Primer parcial
Quiz
•
1st - 9th Grade
10 questions
As frações
Quiz
•
1st - 4th Grade
Popular Resources on Wayground
15 questions
Fractions on a Number Line
Quiz
•
3rd Grade
20 questions
Equivalent Fractions
Quiz
•
3rd Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
22 questions
fractions
Quiz
•
3rd Grade
20 questions
Main Idea and Details
Quiz
•
5th Grade
20 questions
Context Clues
Quiz
•
6th Grade
15 questions
Equivalent Fractions
Quiz
•
4th Grade
20 questions
Figurative Language Review
Quiz
•
6th Grade
Discover more resources for Mathematics
20 questions
Telling Time to the Hour and Half hour
Quiz
•
1st Grade
10 questions
Exploring Rosa Parks and Black History Month
Interactive video
•
1st - 5th Grade
20 questions
Place Value
Quiz
•
KG - 3rd Grade
13 questions
Fractions
Quiz
•
1st - 2nd Grade
15 questions
Place Value tens and ones
Quiz
•
1st Grade
16 questions
Money - Coins
Lesson
•
1st - 2nd Grade
20 questions
Halves and Fourths
Quiz
•
1st Grade
10 questions
Exploring the American Revolution
Interactive video
•
1st - 5th Grade
