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Unformatted text preview: solve the third equation for v . This gives you the values of u , v and w for which B = A-1 , and hence A-1 = 1-a ac-b 1-c 1 . 3.13 Let J = h-1 1 i , and let I denote the 2 2 identity matrix h 1 1 i . (a) Show that J 2 =-I , and that the transformation of IR 2 induced by J is simply the counterclockwise rotation about the origin through an angle of / 2. (This means that-I has a square root, and that the square root is something quite natural. Indeed, two 90 degree turns do make a u-turn.) 21 /september/ 2005; 22:09 22...
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This note was uploaded on 10/03/2010 for the course MATH 380 taught by Professor Gladue during the Fall '08 term at Roger Williams.
- Fall '08