Matrix Algebra Quiz
Test your knowledge of matrix algebra concepts and calculations.
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First Name
Last Name
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example@example.com
Please read the instructions carefully before starting the quiz. Answer all questions to the best of your ability. Calculators are permitted unless otherwise specified.
Given the following matrices: A = [ [1, 2], [3, 4] ] B = [ [2, 0], [1, 2] ] Calculate the matrix product AB.
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Rows
1st Row, 1st Col
1st Row, 2nd Col
2nd Row, 1st Col
2nd Row, 2nd Col
Product Matrix Entry
Which of the following matrices is invertible?
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[ [1, 2], [2, 4] ]
[ [2, 0], [0, 3] ]
[ [0, 0], [0, 0] ]
None of the above
Select all properties that apply to the identity matrix.
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Diagonal entries are all 1
It is symmetric
Determinant is always 1
It is a zero matrix
Other
Find the determinant of the matrix C = [ [5, 3], [2, 1] ]
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True or False: Every square matrix has an inverse.
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True
False
Given the matrix D = [ [4, 2], [1, 3] ], what is the trace of D?
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Match each matrix with its correct description.
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Rows
Zero Matrix
Symmetric Matrix
Diagonal Matrix
[ [0, 0], [0, 0] ]
1
2
3
[ [2, 1], [1, 2] ]
4
5
6
[ [3, 0], [0, 5] ]
7
8
9
What is the rank of the matrix E = [ [1, 2, 3], [2, 4, 6], [3, 6, 9] ]?
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Select the correct statement(s) about eigenvalues.
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A matrix can have complex eigenvalues
The sum of eigenvalues equals the trace for a square matrix
All eigenvalues of a symmetric matrix are real
Eigenvalues are always positive
Other
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