Consider the two rank-two tensors with the following matrix representations: A00 0 0 A20 A22 0 A30 A31 A32 A33 [Aaß] = All 0 A02 0 0 A13 [Bys] = Boo 0 Bo1 B02 0 B12 0 B₁1 0 B22 B23 B33 B20 0 0 0 along with the co-vector [C] = [a, b, 0, d]. Explicitly calculate the four components of the vector A B C in terms of the given quantities.

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Consider the two rank-two tensors with the following matrix representations:
Воо Во
Bo2
B11 B12
B22 B23
Вз
A00
A02
A11
A22
A13
[Aaf] =
[Bys] =
B20
A20
Азо Аз1 Аз2 Азз
along with the co-vector [C] = [a, b, 0, d].
%3D
Explicitly calculate the four components of the vector Auy BHo C" in terms of the given quantities.
Transcribed Image Text:Consider the two rank-two tensors with the following matrix representations: Воо Во Bo2 B11 B12 B22 B23 Вз A00 A02 A11 A22 A13 [Aaf] = [Bys] = B20 A20 Азо Аз1 Аз2 Азз along with the co-vector [C] = [a, b, 0, d]. %3D Explicitly calculate the four components of the vector Auy BHo C" in terms of the given quantities.
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