C is true by a theorem and for a you can easily nd

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Unformatted text preview: i.e., A = 0. C is true by a theorem and for A you can easily find counterexamples, for instance A = diag( − 1, 1, 1, 1, , 1). 3. (2). C is not given by a homegenous linear condition, A and B are. 4. (2). The two equations are clearly independent, so the dimension is 4 − 2 = 2. 5. (4). The second column of A is − 2 times the first, so it is unnecessary. Perform GramSchmidt on the other two. 6. (3). W = span{[1, 0, 0], [0, 1, 1]} and that basis is orthogonal, so the required distance is √ the norm of X − projWX = X − 3[1, 0, 0] −...
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This note was uploaded on 01/19/2010 for the course MAT MAT223 taught by Professor Uppal during the Spring '09 term at University of Toronto- Toronto.

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