Question: Let L : R' - R' be the left-shift linear operator defined by L : (X1, X2, X3, X4, X5) - (X2, X3, X4, X5,

Let L : R' - R' be the left-shift linear operator defined by L : (X1, X2, X3, X4, X5) - (X2, X3, X4, X5, 0). a) What is the matrix of L using the standard basis for RS? b) Compute matrices for all L* for k = 1, 2, .... c) Determine dim null(L*) and dim range(L*) for k = 1, 2

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