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Unformatted text preview: 3. Determine whether the columns of the following matrix 1 0 343 01 4 5 4 6 is linearly independent or not. Give reasons to justify your answer. 4. Let T : R 3 → R 2 be a linear transformation such that T ( e 1 ) = • 1 3 ‚ ,T ( e 2 ) = • 47 ‚ ,T ( e 3 ) = •5 4 ‚ where e 1 ,e 2 ,e 3 are the columns of the 3 × 3 identity matrix. (a) Is T onetoone? (b) Is T onto? Give reasons to justify your answer. * The real exam might be totally diﬀerent !!! 1...
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This note was uploaded on 12/03/2009 for the course PHYS 2c taught by Professor Wurthmeir during the Spring '05 term at UCSD.
 Spring '05
 wurthmeir

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