Zero and Identity Matrices and Determinants
Precalculus · Flashcards
PRECALCULUS · FLASHCARDS
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QUESTION
What is the value of
0
m
×
n
B
0_{m \times n}B
0
m
×
n
B
when
B
B
B
is
n
×
p
n \times p
n
×
p
and the product is defined?
QUESTION
If a square matrix
A
A
A
has an inverse, what must be true about
det
(
A
)
\det(A)
det
(
A
)
?
QUESTION
What is
A
0
A^0
A
0
if
A
A
A
is any
4
×
2
4 \times 2
4
×
2
matrix and
0
0
0
is the
2
×
3
2 \times 3
2
×
3
zero matrix?
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ANSWER
A
0
=
0
A^0 = 0
A
0
=
0
(the
4
×
3
4 \times 3
4
×
3
zero matrix). Product dimensions are
4
×
3
4 \times 3
4
×
3
, all entries zero.
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