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Unformatted text preview: 1 2 2 2 3 Ch1.2 # 4 Row reduce the following matrix to reduced echelon form. Circle the pivot positions in the ﬁnal matrix and in the original matrix, and list the pivot columns. 1 3 5 7 3 5 7 9 5 7 9 1 Ch1.2 # 10 Find the general solutions of the systems whose augmented matrix is given below: ± 121 3 362 2 ² Ch1.2 # 12 Find the general solutions of the systems whose augmented matrix is given below: 17 6 5 1231 74 2 7 Ch1.2 # 33 Find the interpolating polynomial p ( t ) = a + a 1 t + a 2 t 2 for the data (1,12), (2,15), (3,16). That is, ﬁnd a , a 1 , and a 2 such that a + a 1 (1) + a 2 (1) 2 = 12 a + a 1 (2) + a 2 (2) 2 = 15 a + a 1 (3) + a 2 (3) 2 = 16 2...
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This note was uploaded on 04/03/2010 for the course MATH math111 taught by Professor Cheng during the Spring '07 term at HKUST.
 Spring '07
 Cheng
 Math, Linear Algebra, Algebra

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