exam2 - ~c7L ~T ()~ J Ma th 203-001 Spring 2011 Exam 2 N...

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Unformatted text preview: ~c7L ~T ()~ J Ma th 203-001 Spring 2011 Exam 2 N arne: Last First (Problem 1) (18 points) Compute the following determinants. Show steps but try to avoid unnecessary calculations when possible. 2 5 1 7 o - 1 3 - 6 L@ il 2 3 4 6 - 1 5 0 10 - 1 8 -2 10 4 8 1 7 1 6 2. S' , 7 () -\ 3.-~ I '2... '1 ~ ~ 0 - 2f/ 60~ () 0 ~ Vtfe.r - [::, \,2 , 34 ~ 2.. Y (Problem 2) (15 points) A pyramid P = SABC has vertex S and parallelogram ABCD as a base. The points have the following coordinates: A(2 , 2, 2) , B(3, 4, 1) , C(3, 5, 3) , D(2 , 3, 4) , S(I , 3, 2). (1) Check that ABCD is a parallelogram. (Hint: is AB + AD = AC true?) (2) Calculate the volume of P. - . [ 3- 2,] [ IJ Ae, ~ I~--i:: _~ -- \ 3- 1 J [Ij A C= l s-- ~ :: 3 7:,-Z I - f2- L j \6 ] A- D = I 3- L = ) " L~-l LZ / (Problem 3) (10 points) For each of the following sets dc>1er mine whether or not the set is a subspace in IR3. Explain why or why not....
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exam2 - ~c7L ~T ()~ J Ma th 203-001 Spring 2011 Exam 2 N...

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