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Matrix multiplication T2*T1, I am not getting the output

Posted 5 years ago
a = \[Alpha]*(r + s)/2 /. {r -> 0.00037, s -> 0.0013};
            b = \[Alpha]*(\[Alpha]*r*s - 1) /. {r -> 0.00037, s -> 0.0013};
            Subscript[\[Beta], 1] = Sqrt[Sqrt[a^2 - b] - a];
            Subscript[\[Beta], 2] = Sqrt[Sqrt[a^2 - b] + a];
            Subscript[m, 
              1] = (\[Alpha]*s + Subscript[\[Beta], 1]^2)/Subscript[\[Beta], 1];
            Subscript[m, 
              2] = (\[Alpha]*s - Subscript[\[Beta], 2]^2)/Subscript[\[Beta], 2];
            T1 = {{1, 0, 1, 0}, {Subscript[m, 1]*Subscript[\[Beta], 1], 0, 
                 Subscript[m, 2]*Subscript[\[Beta], 2], 
                 0}, {0, (Subscript[\[Beta], 1] - Subscript[m, 1]), 
                 0, (Subscript[\[Beta], 2] + Subscript[m, 2])}, {-Subscript[m, 1]*
                  Subscript[\[Beta], 1]*t, Subscript[\[Beta], 
                 1], -Subscript[m, 2]*Subscript[\[Beta], 2]*t, Subscript[\[Beta], 
                 2]}} /. {t -> 0.2154};
            T2 = Inverse[{{Cosh[Subscript[\[Beta], 1]/2], 
                Sinh[Subscript[\[Beta], 1]/2], Cos[Subscript[\[Beta], 2]/2], 
                Sin[Subscript[\[Beta], 2]/2]}, {Subscript[m, 1]*Subscript[\[Beta],
                  1]*Cosh[Subscript[\[Beta], 1]/2], 
                Subscript[m, 1]*Subscript[\[Beta], 1]*
                 Sinh[Subscript[\[Beta], 1]/2], 
                Subscript[m, 2]*Subscript[\[Beta], 2]*
                 Cos[Subscript[\[Beta], 2]/2], 
                Subscript[m, 2]*Subscript[\[Beta], 2]*
                 Sin[Subscript[\[Beta], 2]/2]}, {(Subscript[\[Beta], 1] - 
                   Subscript[m, 1])*
                 Sinh[Subscript[\[Beta], 1]/2], (Subscript[\[Beta], 1] - 
                   Subscript[m, 1])*
                 Cosh[Subscript[\[Beta], 1]/
                   2], -(Subscript[\[Beta], 2] + Subscript[m, 2])*
                 Sin[Subscript[\[Beta], 2]/2], (Subscript[\[Beta], 2] + Subscript[
                   m, 2])*Cos[Subscript[\[Beta], 2]/2]}, {Subscript[\[Beta], 1]*
                 Sinh[Subscript[\[Beta], 1]/2], 
                Subscript[\[Beta], 1]*
                 Cosh[Subscript[\[Beta], 1]/2], -Subscript[\[Beta], 2]*
                 Sin[Subscript[\[Beta], 2]
                   /2], Subscript[\[Beta], 2]*Cos[Subscript[\[Beta], 2]/2]}}]
POSTED BY: Kumar Arpit
3 Replies
Posted 5 years ago
POSTED BY: Bill Nelson
Posted 5 years ago

Would you please give me the screen shot of the output or can you please tell me which of the matrix element are zero after multiplication of Inverse T2 and T1.

POSTED BY: Kumar Arpit
Anonymous User
Anonymous User
Posted 5 years ago

I got the output without difficulty. The dimensions of T1 and T2 are 4x4. T1 has eigenvalues (T2 I didn't wait for), T2 Inverses quickly. The 4x4 multiplication is done rapidly. I cannot post the output.

POSTED BY: Anonymous User
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