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assign4-for_posting - Write out the linear transformation...

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Math 136 Assignment #4 Winter 2008 Due Date: 8:30 a.m., February 6, 2008. Assignment 1. Text § 1.8, p. 80: Questions 10, 32, 26 2. Text § 1.9, p. 90: Question 18, 20, 36 3. Describe the possible echelon forms where (a) T : R 3 R 5 is 1 : 1 (b) T : R 4 R 2 is onto Use the notation of example 1, section 1.2 4. Let A = 1 3 - 7 - 3 5 0 10 15 6 2 6 14 be the matrix of a linear transformation.
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Unformatted text preview: Write out the linear transformation as T ( x 1 , x 2 , x 3 , x 4 ) = ( ). (a) How many components does the right-hand side vector have? (b) What is the formula for each component? (c) Determine the Kernel and Range of T . (d) Determine Nul A and Col A . 1...
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