(c) Let T: R³ R³ be the linear map defined as T(x, y, z) = (x + 2y+3z, 4x + 5y + 6z, 7x+8y+9z) Find the matrix representing the linear map T with respect to the standard basis of R³. Find the rank and nullity of T. Find a basis for the image of T.
(c) Let T: R³ R³ be the linear map defined as T(x, y, z) = (x + 2y+3z, 4x + 5y + 6z, 7x+8y+9z) Find the matrix representing the linear map T with respect to the standard basis of R³. Find the rank and nullity of T. Find a basis for the image of T.
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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