
Unitary matrices and orthogonal complements
Quiz
•
Mathematics
•
University
•
Medium
Rebecca Field
Used 3+ times
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8 questions
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1.
MULTIPLE SELECT QUESTION
45 sec • 1 pt
Which of the following are unitary matrices?
the matrix whose columns are and
the matrix whose columns are in that order
a matrix whose inverse is its adjoint
the matrix for an isometry
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The direct sum of two unitary matrices is a unitary matrix
true
false
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The projection of a vector onto a subspace is the sum of the individual projections for any basis.
True
False
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The projection of a vector onto a subspace is the sum of the projections for an ONB.
True
False
5.
MULTIPLE SELECT QUESTION
45 sec • 1 pt
The projection of
onto where is a unit vector is
where
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Even if is an infinite dimensional IPS, if is a finite dimensional subspace, every element in can be written in the form where and
True
False
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
True
False
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