CM222, Linear Algebra Mock Test 3 Solutions 1. Let P2 denote the
... 1. Let P2 denote the vector space of real polynomials of degree at most two, and let L : P2 → P2 be the linear map defined by Lf = f 0 . Which of the following are eigenvalues of L? (a) −1 ...
... 1. Let P2 denote the vector space of real polynomials of degree at most two, and let L : P2 → P2 be the linear map defined by Lf = f 0 . Which of the following are eigenvalues of L? (a) −1 ...
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Matrix Operations (10/6/04)
... By (A B) applied to x then, we mean (A B) x = A (B x) = A (x1 b1 + … + xn bn ) = x1 A b1 + … + xn A bn = (A b1 … A bn ) x That is, by A B we mean the matrix whose columns are obtained by A operating on the columns of B . Hence if B has size m by n , then A must have m columns, but can have any numbe ...
... By (A B) applied to x then, we mean (A B) x = A (B x) = A (x1 b1 + … + xn bn ) = x1 A b1 + … + xn A bn = (A b1 … A bn ) x That is, by A B we mean the matrix whose columns are obtained by A operating on the columns of B . Hence if B has size m by n , then A must have m columns, but can have any numbe ...
