Zero and Identity Matrices and Determinants
Geometry · Flashcards · Application
GEOMETRY · FLASHCARDS
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QUESTION
What is
det
(
(
0
0
0
0
)
)
\det\left(\begin{pmatrix}0&0\\0&0\end{pmatrix}\right)
det
(
(
0
0
0
0
)
)
?
QUESTION
What is
I
3
A
I_3A
I
3
A
if
A
A
A
is a
3
×
3
3\times 3
3
×
3
matrix?
QUESTION
If
det
(
A
)
=
1
4
\det(A)=\frac{1}{4}
det
(
A
)
=
4
1
, what is
det
(
A
−
1
)
\det(A^{-1})
det
(
A
−
1
)
?
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ANSWER
4
4
4
. Inverse determinant is reciprocal:
1
1
/
4
=
4
\frac{1}{1/4} = 4
1/4
1
=
4
.
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