# hw05 - ENEE 241 02* Problem 5A (i) (10 pts.) Let HOMEWORK...

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ENEE 241 02* HOMEWORK ASSIGNMENT 5 Due Tue 02/24 Problem 5A (i) (10 pts.) Let A 2 1 0 = u , A 1 2 0 = v and A 1 1 1 = w , where u , v and w are m × 1 vectors. Determine the dimensions of the matrix A and express each of its columns in terms of u , v and w . For the remainder of this problem, consider the following two transformations on the ( x,y ) plane: B : counterclockwise rotation by 45 ; C : stretch in the horizontal ( x ) direction by a factor of 2; no stretch in the vertical ( y ) direction. (ii) (4 pts.) Determine the corresponding matrices B and C . (iii) (3 pts.) Show that BC 6 = CB . (iv) (3 pts.) Verify the result of (iii) above by sketching (on two separate ﬁgures) the result of applying BC and CB to all points on the unit square (whose vertices are (0 , 0), (0 , 1), (1 , 0) and (1 , 1)). Problem 5B Let A = a b c 0 d e 0 f r 0 s t 0 u v w In each of the following cases, ﬁnd matrices P and Q such that

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## hw05 - ENEE 241 02* Problem 5A (i) (10 pts.) Let HOMEWORK...

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