Let U be the vector space of 2 X 2 matrices. Let A and B be 2 X 2 matrices. Determine
Chapter 4, Problem 41(choose chapter or problem)
Let U be the vector space of 2 X 2 matrices. Let A and B be 2 X 2 matrices. Determine whether the following transformations are linear. Find the kernel and range of each linear transformation. (a) T(A) = At (c) T(A) = trace(A) (e) T(A) = A + B (g) T(A) = 0 (i) T(A) = A + At (b) T(A) = IAI (d) T(A) = A 2 (tj T(A) = a11 (h) T(A) = 12 (j) T(A) = reduced echelon form(A)
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