Quick questions on Eigenvalues and eigenvectors explained: H2 Further Mathematics

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the eigenvalue equation?

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A non-zero vector

\mathbf{v}

is an eigenvector of

\mathbf{A}

with eigenvalue

\lambda

What is q1?

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Write the equation that defines an eigenvalue and eigenvector of

\mathbf{A}

. [1 mark]

What is q2?

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State the characteristic equation used to find eigenvalues. [1 mark]

What is q3?

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The eigenvalues of a

2\times2

matrix are

3

and

-1

. State its trace and determinant. [2 marks]

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