Recent content by tengxiaona

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    Linear algebar distance between two lines,help for part(b)

    any1 help me ! please!
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    Finding a Non-Diagonalizable 3x3 Matrix with 2 as its Only Eigenvalue

    i got it now ! i really went to a wrong way! thanks for DICK and MG you guys help!
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    Linear algebar distance between two lines,help for part(b)

    i get some ideas from another topic https://www.physicsforums.com/showthread.php?t=274638" i use the equation wut Dick offered X_p(s)-X_q(t)=u*W then i get (4,4,4)+t[-3,-6,-9] - (3,-1,5)+s[0,0,-5] = u[30,-15,0]<--cross product by deriction vectors i solve it and get t=11/15...
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    Finding a Non-Diagonalizable 3x3 Matrix with 2 as its Only Eigenvalue

    ok,i trid again and stuck again i set A as a b c 0 d e 0 0 f use the way i did before above finally i get a+d+f=6 fd+af+ad=12 adf=18 then....=.= i still can't slove these equtions Dick , wut exactly do u mean by ues an upper matrix
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    Linear algebar distance between two lines,help for part(b)

    Linear algebar!distance between two lines,help for part(b) Homework Statement (a)use cross product to find the distance d from the line K determined by the two points(4,4,4) and (-1,-2,-5) to the line L determined by the parametric equations x=3,y=-1,z=5-5t (b)find two points P and Q on...
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    Finding a Non-Diagonalizable 3x3 Matrix with 2 as its Only Eigenvalue

    but the matrix A is not diagonalizable
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    Finding a Non-Diagonalizable 3x3 Matrix with 2 as its Only Eigenvalue

    sorry, i don't have any ideas could u just give me any hints?
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    Finding a Non-Diagonalizable 3x3 Matrix with 2 as its Only Eigenvalue

    Homework Statement Find a 3*3 matrix A which is not diagonalizable and such that 2 is the only eigenvalue of A Homework Equations The Attempt at a Solution since λ=2,and it is a 3*3 matrix i get the det(λI-A)=(λ-2)^3=0 then λ^3-6λ^2+12λ-8=0 now i use...