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answers-matrixexpos

# answers-matrixexpos - Math 252 Fall 2002 Answers to Matrix...

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Math 252 — Fall 2002 Answers to Matrix Exponential Exercises Answers, using Maple (you should do the problems by hand, but it is useful to know how to check your answers using Maple): First introduce a package that understands matrices. The new LinearAlgebra package is used to exploit its more natural (if somewhat verbose) set of function names. Once the package is loaded, the matrices appearing in the exercises can be defined. Since the matrices are small, it is equally easy to enter them by rows or by columns. A mixture of both styles is used to illustrate the use of these shortcuts for defining matrices. Almost all matrices are called A in the problem statements, so we do the same here, modified by information about the source of the problem. Note that we ask Maple to find A + B in problem 5. with(LinearAlgebra): A1a := < <1 | 1>,<0 | 0> >; A1b := < <5,-1> | <6,-2> >; A1c := < <2,1> | <-8,-4> >; A1d := < <2,0,0> | <2,1,0> | <1,2,-1> >; A4 := < <0,0,0> | <1,0,0> | <2,1,0> >; c5 := <1,0>; A5 := <c5 | c5>; B5 := ZeroMatrix(2,compact=false); B5[1,2] := -1; AplusB5 := A5 + B5; Here is the response A 1 a : = 1 1 0 0 A 1 b : = 5 6 - 1 - 2 A 1 c : = 2 - 8 1 - 4 A 1 d : = " 2 2 1 0 1 2 0 0 - 1 # A 4 : = " 0 1 2 0 0 1 0 0 0 # c 5 : = 1 0 A 5 : = 1 1 0 0 B

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answers-matrixexpos - Math 252 Fall 2002 Answers to Matrix...

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