Ma1502HW3-Spring2010 - MATH1502 - Homework 3 Spring 2010 -...

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MATH1502 - Homework 3 Spring 2010 - due Tuesday April 13 Name _____________________________ Group (e.g. G1 or H1) _____________________ Student Number ____________________ Teaching Assistant ____________________ .. Question Number Points Total 100 (100=100%). Question 1 Consider the following four matrices A;B;C;D . A = 2 6 6 4 0 3 2 11 2 0 1 3 4 1 0 1 3 7 7 5 ; B = 2 4 6 2 3 2 2 0 1 1 5 3 5 ; C = 7 1 0 2 0 5 0 2 ± ; D = 1 1 7 0 1 3 ± : 1
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Which of the 16 possible products AA;AB;AC;AD;::: make sense? Com- pute the products that do make sense. 2
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Question 2 Let a;b;c be real numbers and A = 7 c a 4 ± ; B = 1 7 + c b 0 1 4 ± : (a) Compute AB: (b) For which values of a;b; and c is B = A 1 ? 3
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Question 3 Let 2 & 0 ; 2 ± and S ( ) = ² tan cot 1 1 ³ : Use the formula for the inverse of a 2 by 2 matrix to compute S ( ) 1 : 4
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Consider the vectors v 1 = 2 4 3 2 1 3 5 ; v 2 = 2 4 2 2 2 3 5 ; v 3 = 2 4 2 2 4 3 5 : (a) Compute v i ± v j for i;j
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This note was uploaded on 02/09/2011 for the course MATH 1502 taught by Professor Mcclain during the Spring '07 term at Georgia Institute of Technology.

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Ma1502HW3-Spring2010 - MATH1502 - Homework 3 Spring 2010 -...

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