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fall2010Quiz1Solutions

# fall2010Quiz1Solutions - ChBE 2120 Fall 2010 Quiz 1 NAME On...

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Unformatted text preview: ChBE 2120, Fall 2010, Quiz 1 NAME: On this sheet, give 0 1nal answers for each question in the box provided — no partial credit. 1. Consider the following system of equations: 33’1“"3’2 +373 = 12 8y1 + 2312 + 5y3 : 33 23’23’3 = 4 Answer: 2. Censider the following system of equations: 2y =5—9y1 ‘? ,Wﬂzy 6y: + 10 = y2 5:37, = “/0 Translate this sytem of equations to matrix format Ax : b. 3. You are in the process of performing Gaussian elimination. You have eliminated all elements from the ﬁrst column. You encounter the following situation: E‘éEHiH? A) Use0 3— — 0 as your next pivot How do you proceed? B) Swap rows 2 and 3 1n your matrix C) Swap rows 2 and 3 in your matrix and x vector D) Swap rows 2 and 3 in your matrix and b vector (right-hand side of equation) E) Swap rows 2 and 3 in your matrix, x vector, and b vector F) You don’t proceed; this system cannot be solved 4. Calculate the determinant of the following matrix: #7 1 0 0 1' D C 23.6 5 4 2716 7 /g 2.9 3 '6 2—7 3 ’50—2Z its ...
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