Question: Problem 4 $3.2, Exercise 10. Suppose the mapping L : R3 -> R is linear and satisfies NO L L L = What is the

Problem 4 $3.2, Exercise 10. Suppose the mapping L : R3 -> R is linear and satisfies NO L L L = What is the 2 x 3 matrix A such that L = LA?Problem 11 $3.6, Exercise 1. Let A be an m x n matrix. Show that the matrices AAt and At A are symmetric.Problem 13 $3.7, Exercise 4. Let A, B, C be general n x n matrices. Simplify the expres- sion A (BA-1)-1(CB-1)-1

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