MATH 18 Lecture 32: math18_lecture21

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MATH 18 Full Course Notes
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MATH 18 Full Course Notes
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Midterm : friday may 26 , in class. Today : last of determinant story, then eigenvalues and eigenvectors . It ] in r ? what the is area describe ? the parallelogram they. It ] what the is area in pi describe ? the parallelogram they. Solution : the matrix in%" ] in question is. = tfl the parallelepiped they describe : hi , volume of at in r3 what the is s at. Problem : given vectors at =l ! ] = hat the parallelepiped they describe : hi , volume of at in r3 what the is s at. Extrapolating from the zd case of a=[ at. E e ] : compute the determinant we det (a) = Problem : given vectors at =l ! ] as = hat the parallelepiped they describe : hi , volume of in r3 what the is s at. A compute the determinant we det (a) =