Answer
$$S=\{(1,0,0,0), (0,1,0,0),(0,0,1,0), (0,0,0,1)\}.$$
Work Step by Step
The standard basis of $R^4$ is the following set of vectors
$$S=\{(1,0,0,0), (0,1,0,0),(0,0,1,0), (0,0,0,1)\}.$$
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