- #1
charmmy
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1. Homework Statement
Q1) Show that a contraction transformation from V to V has a diagonal matrix representation regardless of the basis given to V (same basis in domain and range).
!2) T(x1,x2,x3)=(x1,x2,x2*x3) find the kernel and range T for this transformation.
2. Homework Equations
3. The Attempt at a Solution
Q1)how do we go about building a matrix representation? just arbitarily orr?? Where should I even start?
Q2) the transformation is not linear, so we can't actually find an Echloen matrix to row reduce?
Q1) Show that a contraction transformation from V to V has a diagonal matrix representation regardless of the basis given to V (same basis in domain and range).
!2) T(x1,x2,x3)=(x1,x2,x2*x3) find the kernel and range T for this transformation.
2. Homework Equations
3. The Attempt at a Solution
Q1)how do we go about building a matrix representation? just arbitarily orr?? Where should I even start?
Q2) the transformation is not linear, so we can't actually find an Echloen matrix to row reduce?
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