Group 4. Consider the linear application application T(ar³ + br² + cx + d) = 3ar² + 2br + c. T: R₁[¹] → R₂[1] defined by a) Determine justifying the matrix that represents T in relation to canonical R₂[1]. bases of Rs[1] and b) Determine justifying the core and image of T. DE R₂[1] c) Determine justifying polinomials such that Tp = 1² +1+1.
Group 4. Consider the linear application application T(ar³ + br² + cx + d) = 3ar² + 2br + c. T: R₁[¹] → R₂[1] defined by a) Determine justifying the matrix that represents T in relation to canonical R₂[1]. bases of Rs[1] and b) Determine justifying the core and image of T. DE R₂[1] c) Determine justifying polinomials such that Tp = 1² +1+1.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 16EQ
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