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Practice for Linear Algebra's Final Exam

Authored by Aldebaran Adhitya

Mathematics

University

CCSS covered

Used 10+ times

Practice for Linear Algebra's Final Exam
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60 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If is a square matrix, then the statement that MAY be True is...

all answers may be True

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If A is of size n x n and rank(A) = n, then the column vectors of A are linearly independent.

True

False

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If D is a diagonal matrix in the size of n x n and Rank(D) = n-1, then there is a 0 in the main diagonal

True

False

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If Ax = 0 is an underdetermined homogenous SLE, then nullity(A) must be positive

True

False

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the size of matrix A is 4 x 7, then the statement that is always true is ...

Nullity(A) = 6

Nullity(A) >= 3

Nullity(A) < 3

Nullity(A) = 4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If A is a square matrix and SLE Ax=b has exactly one solution, then Row(A) = Coll(A)

True

False

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Given the following matrix, the correct statement is ...

Rank(A) = 2 and Nullity(A) = 2

Rank(A) = 1 and Nullity(A) = 3

Rank(A) = 0 and Nullity(A) = 3

Rank(A) = 3 and Nullity(A) = 1

Tags

CCSS.HSA.REI.C.9

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