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Matrix Norms
Matrix Norms
3 questions
Difficulty 2-4
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foundation (2/10)
compute
The Frobenius norm of a matrix
A
is defined as
∥
A
∥
F
=
∑
ij
A
ij
2
. Which equivalent form is correct?
Hide and think first
A.
∥
A
∥
F
=
max
i
∑
j
∣
A
ij
∣
, the maximum absolute row sum of
A
B.
∥
A
∥
F
=
tr
(
A
T
A
)
, the square root of the trace of
A
T
A
C.
∥
A
∥
F
=
σ
m
a
x
(
A
)
, the largest singular value of
A
D.
∥
A
∥
F
=
∣
det
A
∣
, the absolute value of the determinant of
A
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