Linear Transformations and Matrices
AP Precalculus · Flashcards · Application
AP PRECALCULUS · FLASHCARDS
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QUESTION
Identify the linear transformation represented by
(
2
0
0
3
)
\begin{pmatrix} 2 & 0 \\ 0 & 3 \end{pmatrix}
(
2
0
0
3
)
.
QUESTION
Calculate the trace of
(
7
0
0
3
)
\begin{pmatrix} 7 & 0 \\ 0 & 3 \end{pmatrix}
(
7
0
0
3
)
.
QUESTION
Find the eigenvalues of matrix
(
2
1
1
2
)
\begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix}
(
2
1
1
2
)
.
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ANSWER
3
,
1
3, 1
3
,
1
. Solve
det
(
A
−
λ
I
)
=
0
\det(A - \lambda I) = 0
det
(
A
−
λ
I
)
=
0
for characteristic polynomial.
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