hwB13 - ENEE 241 02* HOMEWORK ASSIGNMENT 13 Due Mon 03/03...

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ENEE 241 02* HOMEWORK ASSIGNMENT 13 Due Mon 03/03 Solve by hand without using calculator matrix functions. Show all intermediate steps. Consider the following three matrices: A = 1 1 1 1 1 - 1 1 - 1 1 2 4 8 1 - 3 6 - 9 B = 1 2 3 4 2 4 7 8 3 5 9 12 5 7 12 20 C = 1 2 1 3 2 4 1 4 1 - 1 - 3 4 3 6 2 7 (i) (12 pts.) Determine whether each matrix is nonsingular or singular. (ii) (2 pts.) In which of the three matrices are the columns linearly dependent? (iiii) (2 pts.) Determine all solutions of the equation Ax = 0 . (iv) (2 pts.) Show that both x (1) = £ - 4 0 0 1 / T and x (2) = £ 8 0 0 - 2 / T are solutions of the equation Bx = 0 . (v) (2 pts.) How many solutions does the equation Cx = 0 have? Solved Examples S 13.1 . Determine which (if any) of the following three matrices are nonsingular:
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This note was uploaded on 03/21/2010 for the course ENEE 241 taught by Professor Staff during the Spring '08 term at Maryland.

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