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Midterm I Outline

Midterm I Outline. Shang-Hua Teng. Problem 1: Multiple Choices 12 points. There might be more than one correct answers; So you should try to mark them all. 1 question on big-O and big- Q . 2 questions on vector subspaces and rank, basis, dimensions, and Echelon format.

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Midterm I Outline

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  1. Midterm IOutline Shang-Hua Teng

  2. Problem 1: Multiple Choices12 points • There might be more than one correct answers; • So you should try to mark them all. • 1 question on big-O and big-Q. • 2 questions on vector subspaces and rank, basis, dimensions, and Echelon format

  3. Problem 2. True or false and justify13 points • Four questions on • Dot product of vectors • Norm of vectors • Perpendicular vectors • Complexity of one of the algorithms that we learnt in the class

  4. Problem 3. Computations35 points • One question of affine and/or linear combination • One question of the norm or length of a vector • One question of permutation matrix • One question on Gaussian elimination, null space, nullspace matrix.

  5. Problem 4: Mathematics20 points • One problem on proving a statement on symmetric matrices • One problem on distance of vectors

  6. Problem 5: Algorithm Design20 points • One problem related with sorting and/or geometric nearest neighbors Your will be asked to describe your algorithms and analysis the complexity of your algorithms

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