Let T: P2 P2 be the mapping defined by T(ao + a1x + a2x?) = 3a + a,x + (ao + a,)x2 (i)Show that T is linear. (ii)Find the basis for the kernel of T. (iii)Find a basis for the range of T. 14)
Let T: P2 P2 be the mapping defined by T(ao + a1x + a2x?) = 3a + a,x + (ao + a,)x2 (i)Show that T is linear. (ii)Find the basis for the kernel of T. (iii)Find a basis for the range of T. 14)
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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