Zero and Identity Matrices and Determinants
Precalculus · Flashcards · Recall
PRECALCULUS · FLASHCARDS
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QUESTION
What is
det
(
I
n
)
\det(I_n)
det
(
I
n
)
for any positive integer
n
n
n
?
QUESTION
What is the definition of an inverse matrix
A
−
1
A^{-1}
A
−
1
for an
n
×
n
n \times n
n
×
n
matrix
A
A
A
?
QUESTION
What is the additive identity matrix for
m
×
n
m \times n
m
×
n
matrices?
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ANSWER
The zero matrix
0
m
×
n
0_{m \times n}
0
m
×
n
. All entries are zero, acts like 0 in real number addition.
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