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Linear mapping L: R-R' satisfies the following property. L(1, 2, 3) = (0, 2, 2) L(0, 1, 2) = (-2, 1, 1) L(0, 0, 1)

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Linear mapping L: R-R' satisfies the following property. L(1, 2, 3) = (0, 2, 2) L(0, 1, 2) = (-2, 1, 1) L(0, 0, 1) = (0, 1, 0) The matrix A representing (L ) is as follows. a11 a12 a13 A = a21 a22 a23 a31 a32 a33 (B) Determine whether the three vectors L(1, 0, 0), L(0, 1, 0), and L(0, 0, 1) are linearly independent or linearly dependent. a ) find Lij=1 aij

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