HW 06 Solution_1

HW 06 Solution_1 - -1 1 1 1 B B-1 Part E write the 3 x 3...

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1  HW 06 – Sep 15 Part A Find B -1 1 0 0 -1 -1 0 0 1 -1 1 0 0 -1 -1 0 -1 -1 -1         B         B -1
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Part B write the 3 x 3 system of equations Bx  = b , where x  =                and  b  = solve for x  using x  = B -1 b x1 = __5__, x2 = _-15__, x3 = _-30_   2 x1 x2 x3 5 10 15 1x1    +0x2   +0x3   =5                                      -1x1    -1x2   +0x3   =10 0x1   +1x2     -1x3    =15
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Part C write the 3 x 3 system of equations w ’B = c ’ where  w ’ = [w1, w2, w3] and c ’ = [20,30,40] solve for w ’ using w ’ = c ’B -1       w1 = _-50_,  w2 = _-70_, w3 = _-40_ 3 1w1     -1w2      +0w3     =20 0w1     -1w2      +1w3     =30 0w1     +0w2     -1w3     =40
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4  Part D (find the inverse) 0 -1 0 1 0 1 -1 1 0 -1 0 -1
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Unformatted text preview: -1 1 1 1 B B-1 Part E write the 3 x 3 system of equations using B in Part D Bx = b , where x = and b = solve for x using x = B-1 b x1 = _-10_, x2 = _-25_, x3 = _40_ 5 x1 x2 x3 25 30-15 0x1 -1x2 +0x3 =25 1x1 +0x2 +1x3 =30-1x1 +1x2 +0x3 =-15 Part F write the 3 x 3 system of equations using B in Part D w B = c where w = [w1, w2, w3] and c = [-20,10,-4] solve for w using w = c B-1 w1 = __6__, w2 = _-4_, w3 = __16__ 6 0w1 +1w2 -1w3 =-20-1w1 +0w2 +1w3 =10 0w1 +1w2 +0w3 =-4...
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This note was uploaded on 10/06/2008 for the course EMIS 3360 taught by Professor Dr.kennington during the Spring '08 term at SMU.

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HW 06 Solution_1 - -1 1 1 1 B B-1 Part E write the 3 x 3...

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