Let T : Rn Rn be the linear operator defined by the formula T(x1, x2,...,xn) = (a1x1
Chapter 8, Problem 21(choose chapter or problem)
Let T : Rn Rn be the linear operator defined by the formula T(x1, x2,...,xn) = (a1x1, a2x2,...,anxn) where a1,...,an are constants. (a) Under what conditions will T have an inverse? (b) Assuming that the conditions determined in part (a) are satisfied, find a formula for T 1(x1, x2,...,xn).
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