# hwB09 - S 9.3 P 2.11 in textbook Matrices A and B are...

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ENEE 241 02* HOMEWORK ASSIGNMENT 9 Due Wed 02/20 Consider the matrix A = a b c d e f g h w x y z In each of the following cases, ﬁnd matrices P and Q such that PAQ equals the matrix shown. (Note that if either P or Q is superﬂuous, it trivially equals I .) (i) w x y z e f g h a b c d (ii) d b c a h f g e z x y w (iii) z x y w d b c a h f g e (iv) a a b c c e e f g g w w x y y (v) 2 b c + d 2 f g + h 2 x y + z (vi) a + e b + f c + g d + h e + 2 w f + 2 x g + 2 y h + 2 z w x y z (vii) £ w / (viii) [2 a + 2 b + 2 c + 2 d - e - f - g - h + 3 w + 3 x + 3 y + 3 z ] (1 × 1, i.e., a scalar) Solved Examples S 9.1 ( P 2.7 in textbook). If A = a b c d e f g h i ﬁnd vectors u and v such that u T Av = b S 9.2 . ( P 2.10 in textbook). Let x = a b c d

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If P and Q are 4 × 4 matrices such that Px = c a b d and Qx = a c d b determine the product PQ
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Unformatted text preview: . S 9.3 . ( P 2.11 in textbook). Matrices A and B are generated in MATLAB using the commands A = [1:3; 4:6; 7:9] ; B = [9:-1:7; 6:-1:4; 3:-1:1] ; Find matrices P and Q such that B = PAQ . S 9.4 . ( P 2.13 in textbook). Express each of the matrices A = a b c d 2 a 2 b 2 c 2 d-a-b-c-d-2 a-2 b-2 c-2 d and B = 1 t t 2 t 3 t-1 1 t t 2 t-2 t-1 1 t t-3 t-2 t-1 1 as a product of a row vector and a column vector. Using your result, show that the product AB can be also expressed as a product of a row vector and a column vector....
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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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hwB09 - S 9.3 P 2.11 in textbook Matrices A and B are...

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