Inverse and Determinant of a Matrix
AP Precalculus · Flashcards · Recall
AP PRECALCULUS · FLASHCARDS
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QUESTION
Describe what makes a matrix singular.
QUESTION
What is the determinant of a
3
×
3
3 \times 3
3
×
3
matrix
[
a
b
c
d
e
f
g
h
i
]
\begin{bmatrix} a & b & c \\ d & e & f \\ g & h & i \end{bmatrix}
a
d
g
b
e
h
c
f
i
?
QUESTION
What is the determinant of
[
a
b
b
a
]
\begin{bmatrix} a & b \\ b & a \end{bmatrix}
[
a
b
b
a
]
?
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ANSWER
a
2
−
b
2
a^2 - b^2
a
2
−
b
2
. Cross multiplication gives
a
2
−
b
2
a^2 - b^2
a
2
−
b
2
.
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