Question: The linear mapping L : R3 + M2x2(R) given by a + 2b b + 2c L(a, b, c) = 2atc atb+c is not onto.

The linear mapping L : R3 + M2x2(R) given by a + 2b b + 2c L(a, b, c) = 2atc atb+c is not onto. Find a matrix A E M2x2(R) such that A & Range(L)
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