Why impedance matching is critical in analogue electronics?

Impedence matching is to maximize the power to the load and minimize the losses

TO MINIMIZE THE POWER LOST < IMPROVE effiancy

To be able to achieve maximum power transfer which means minimum power lost - impedance matching is important like for example to be able to minimize the noise in signal transmission matching is imperative. It is done by matching the output impedance with the input impedance of a certain device.