Question

1.
a)

QUESTION 1 In coordinate system S, the components of a covariant tensor of order 2 take the following values at a certain point P: T.1 = 3, T21 = -5, T12 = -5, T22 = 7 Find component 722 in coordinate system Š obtained by the coordinate transformation: x = x and 32- with A = -6 and B = 1

b)

Answer 1

For the coordinate transformation (x's K²) - (x, X²), we have Tu Tuo, where definition we here from the stand und Tze -- + 0x O2 +88² 8x' tz xava ja 22 Now given Tu=3, T22 = -5, T2 = -5, T22=7 RB = AX'; X = BRZ, A = -6 Ba O , O = 0 rn erot = + = -6 ore B = = 1 8x data in eano rave Putting all these

1x1x3 + 1x0x(-5) tox 1*(-5) toxox7 = 3toto = 3 (Ans)