MATRIX ALGEBRA & APPLS
MATRIX ALGEBRA & APPLS MA 322
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This 1 page Class Notes was uploaded by Kennith Herman on Friday October 23, 2015. The Class Notes belongs to MA 322 at University of Kentucky taught by A. Sathaye in Fall. Since its upload, it has received 44 views. For similar materials see /class/228134/ma-322-university-of-kentucky in Mathematics (M) at University of Kentucky.
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Date Created: 10/23/15
MA322 Sathaye Hm H Topics for Exam 3 Exam on 081124 These are the topics that you should prepare for 1 715335 me 9 50 i Construction of normal equations and projection into a subspace De nition of 39 and i Checking if given numbers are eigenvalues or if given vectors are eigenvectorsi De nition of a diagonalizable matrix and determination of diagonalizabilityi De nition of a similar matrixi Writing A as PDP 1 using eigenvalue calculations Recognizing When it may not be possible lnner Product de nition This should be done as Calculation of the Inner Product matrix for a given set of vectors in a vector space described in the class notes Orthogonal and orthonormal vectorsi Using lnner Product matrix for recognizing orthogonal and orthonormal vectorsi Calculation of unit vectors along given directions7 norms lengths of vectors and angles between vectors using the given lnner Producti Determination of the coordinates of a given vector in terms of a given orthogonal set of vectors The spanning set of the subspace may be orthogonali Finding the distance of a vector from a subspace