Find a basis, and determine the dimension, for the space of all 2 × 2 matrices

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So I understand how to find the basis and dimensions for linearly independent matrices, however this matrix is linearly dependent, I tried to look if any of the matrices can be created using the other two and scalars, however I could not find anything. I'm pretty lost, so any help would be very appreciated.

M = a[3 0, -7 -3] + b[0 -1, 6 0] + c[-1 -3, 5 1]. However these matrices are dependent and idk how to make progress