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HW05-problems

# HW05-problems - khan(sak2454 HW05 gilbert(57245 This...

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khan (sak2454) – HW05 – gilbert – (57245) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points Let T : R 2 R 2 be the transFormation T ( x ) = x 1 b 3 - 1 B + x 2 b - 4 2 B . Determine T ( x ) when x = b 2 1 B . 1. T ( x ) = b 3 - 1 B 2. T ( x ) = b 1 - 1 B 3. T ( x ) = b 3 0 B 4. T ( x ) = b 1 0 B 5. T ( x ) = b 2 - 1 B 6. T ( x ) = b 2 0 B 002 10.0 points IF T : R 2 R 2 is the linear transFormation such that T pb x 1 x 2 BP = x 1 b - 2 2 B + x 2 b - 1 1 B , determine T ( x ) when x = b 1 3 B . 1. T ( x ) = b - 5 4 B 2. T ( x ) = b - 4 4 B 3. T ( x ) = b - 4 5 B 4. T ( x ) = b - 5 5 B 5. T ( x ) = b 1 3 B 003 10.0 points IF A is an m × n matrix, then the range oF the transFormation T A : x A x is R m . True or ±alse? 1. ±ALSE 2. TRUE 004 10.0 points Every linear transFormation T : R n R m is a matrix transFormation. True or ±alse? 1. TRUE 2. 005 10.0 points IF A is an m × n matrix, then the range oF the transFormation T : R n R m , T A : x A x , is the set oF all linear combinations oF the columns oF A .

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