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Unformatted text preview: M . i) Show that b a f M ( b-a ) . 2 MATH 186 WINTER 2009 HOMEWORK SET 1 ii) Show that if f is continuous on [ a, b ], then b a f ( x ) dx = ( b-a ) f ( ) , for some [ a, b ]. Ex 3. Let A be the 2 2 matrix 1 2-3 4 . i) Find a vector v 1 such that Av 1 = [ 1 ]. ii) Find a vector v 2 such that Av 2 = [ 1 ]. iii) Find a matrix B such that AB = 1 1 . iv) What is the relationship between AB and BA in this case? From Spivak: Chapter 13: Ex # 31 (a), 37. Please recycle!...
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This note was uploaded on 11/22/2010 for the course MATH 186 taught by Professor Staff during the Winter '08 term at University of Michigan.
- Winter '08