Lev V be a 3-dimensional vector space, let x1; x2; x3 be a basisof V , and let T 2 L(V ) be the linear map given by Tx1 = x1; Tx2 =x1 + x2; Tx3 = x1 + x2 + x3: Find the matrices of T and T 1relative to the basis x1; x2; x3.
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