The natural basis for R is given by {e1,...en} where (e:), = d;j. Let v E...
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The natural basis for R" is given by {e1,...en} where (e:), = d;j. Let v E R": Vkek k=1 and let Be Mnxn(R) satisfy the following relation Bx = x- (v x)v %3D for all æ e R". (i) The entries of B are given by expression Bij = (Be;); for all i, j = 1,..., n. Calculate Bij. (ii) Calculate the scalar function X(x) that satisfies the equation Bx = x – (x)v The natural basis for R" is given by {e1,...en} where (e:), = d;j. Let v E R": Vkek k=1 and let Be Mnxn(R) satisfy the following relation Bx = x- (v x)v %3D for all æ e R". (i) The entries of B are given by expression Bij = (Be;); for all i, j = 1,..., n. Calculate Bij. (ii) Calculate the scalar function X(x) that satisfies the equation Bx = x – (x)v
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