Let T : R3 —> R3 be defined by
T(xi, x2, x3) = (3x1 + x3, - 2x1 + x2,
- x1 + 2x2 + 4x3)
Show that T^(-1) exists. Give the expression for T^(-1)(x1 , x2, x3) for T above.
There is no co-ordinate transformation that transforms the quadratic form x² + y²+ z² to xz + yz. True or false