Non inverting OpAmp with NPN amplification factor > 1

Question

I need to amplify the output range of a DAC chip from (0-3.3 V) to (0-10 V). Unfortunately, I cannot simply use an inverting OpAmp circuit, because the output needs to stay positive with respect to digital GND.

Is it possible to use an NPN transistor in the feedback circuit, in order to achieve the amplification factor of 3? I ran simulations with LTSpice, and below circuit gave me the expected results - R3 is supposed to lazily simulate the input impedance of the device to be controlled by 0 to 10 V. Frequency of the operation is below 1 kHz.

I am not an electronics engineer and am seeking for advice, for perhaps better alternatives.

Answer 1

^{simulate this circuit – Schematic created using CircuitLab}

You need a non-inverting amplifier circuit with a resistor ratio of 2:1.

Gain is 1 + R1/R2 = 1 + 20K/10K = 3.

The resistors are standard E96 values, so you can use 1% parts or better if you like.

Answer 2

This should do the work

^{simulate this circuit – Schematic created using CircuitLab}