Determine whether the following linear transformations are invertible. If a transformation is invertible, find the inverse and compute the preimage of the vector (2, 3). (If the linear transformations is
not invertible, enter NA.)
(a) $T(x, y) = (7x - 3y, 5x - 2y)$
$T^{-1}(x, y) = $
$T^{-1}(2, 3) = $
(b) $T(x, y) = (6x + 5y, 7x + 6y)$
$T^{-1}(x, y) = $
$T^{-1}(2, 3) = $
(c) $T(x, y) = (3x - y, -9x + 3y)$
$T^{-1}(x, y) = $
$T^{-1}(2, 3) = $
(d) $T(x, y) = (x + 4y, 0)$
$T^{-1}(x, y) = $
$T^{-1}(2, 3) = $