Let T': R³ → R4 be a linear transformation so that T(x) = Ax, where 1 -2 -3 0 1 -1 A = 0 0 1 0 0 0 Which of the following is/are true? A. The kernel of T is a subspace of R4. B. The range of T is the column space of A. C. The null space of A is the empty set because dim(Nul A) = 0. OA and C only
Let T': R³ → R4 be a linear transformation so that T(x) = Ax, where 1 -2 -3 0 1 -1 A = 0 0 1 0 0 0 Which of the following is/are true? A. The kernel of T is a subspace of R4. B. The range of T is the column space of A. C. The null space of A is the empty set because dim(Nul A) = 0. OA and C only
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.2: The Kernewl And Range Of A Linear Transformation
Problem 59E: Let T:R3R3 be the linear transformation that projects u onto v=(2,1,1). (a) Find the rank and...
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