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Unformatted text preview: briey. (a) (1 mark) f ( x,y,z ) = 2 x + y-z . 1 2 (b) (2 marks) g ( x ) = ( x, cos( x )). (c) (2 marks) h ( x,y ) = (2 x + 3 y,x-y ). (5) Consider the matrix E = 0 1 0 0 . (a) (1 mark) Show that E 2 = 0. (b) (3 marks) Compute ( E + I ) 4 , where I is the 2 2 identity matrix. ( Hint . You can compute this directly or use the following: If A and B are two square matrices of the same size such that AB = BA then one can use the binomial formula to compute ( A + B ) n for any n 0.) (c) (1 mark) What MATLAB commands would you enter to compute ( E + I ) 4 for the question above? You may assume that E has been entered already....
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- Spring '08