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Sp07_final

# Sp07_final - Name Discussion Section No PID Time Final Math...

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Name: PID: Discussion Section - No: Time: Final, Math 20F - Lecture B (Spring 2007) Duration: 3 hours This is a closed-book exam. Calculators are not allowed. You can use one page of notes. To get full credit you should support your answers unless otherwise is stated. There are eight questions in this exam. 1. a) (4 points) An LU -factorization for a 4 × 4 matrix A is given as A = 1 0 0 0 2 2 0 0 1 1 2 0 0 1 2 1 2 2 1 0 0 1 1 1 0 0 1 2 0 0 0 2 . Evaluate the determinant of A . Is A invertible? Question# Score 1 (7pts) 2 (7pts) 3 (7pts) 4 (7pts) 5 (8pts) 6 (6pts) 7 (7pts) 8 (6pts) Total (55pts)

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b) (3 points) Evaluate the determinant of the matrix B = 1 0 0 2 0 1 2 0 0 2 1 0 2 0 0 1 . 2. (Each part is 1 point) Determine whether each of the following statements is true or false. For each part circle either T (true) or F (false). You do not need to justify your answers. (i)
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Sp07_final - Name Discussion Section No PID Time Final Math...

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