Science:Math Exam Resources/Courses/MATH307/April 2006/Question 07 (b)

MATH307 April 2006

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Question 07 (b)

Let P be the projection of all vectors in $\mathbb {R} ^{4}$ into R(A) which is the column space of the matrix ${\begin{bmatrix}1&0\\-1&1\\1&1\\0&-2\end{bmatrix}}$. Let R be the reflection in R(A). Answer the following questions with little or no calculation. You do not need to find the projection and the reflection matrices to answer these questions. Find a complete set of eigenvectors for both P and R

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Hint

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Solution
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