Sample+Midterm+1 - Math 4 Sample Midterm 1. A= 1 2 2 4 Find...

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Math 4 Sample Midterm1.A=￿1224￿Find the eigenvalues and corresponding eigenvectors forA. Find the orthogonalmatrixQthat is used to diagonalizeA.1
2.A=311111101Calculate:trace(A)|A|adj(A)A12
3.A=￿112011￿B=112211x=121andy=210Compute:Rank(B)ABxyTxTy||2x+y||3
4. LetAbe a square matrix such thatAAT=I. Show that|A|=±1.5. Prove that|AB|=|BA|.6.A=3010110020121201Computedet(A
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Term
Winter
Professor
Reily
Tags
Linear Algebra, Eigenvectors, Vectors, following equation, Orthogonal matrix

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