Linear Algebra If there are any problems, please let me know. 6Determine10 Probl

Question

Linear Algebra

If there are any problems, please let me know.

6Determine10 Problem(T) Suppose that T" is linear and T and T 3 and T Probleln(8) Suppose that T is linear, soch that r( Justify your answer Problema() Suppose that risliser.mhthatr(!)-liland T(1) Problem(10) Suppose that TR R' is a linear traresformation, sach that Determine T nyin . hetifs your answer Problem, (11) Suppuse that T R R, kiddin-d by T22 Find a generating set for the null space of T Problem(12) Suppose that T : R R2 is defined by Find a generating set for the wall spare of T Problem(13) Determine ewh matrix is inseti (b)-3 2 E s, find its rre 1 -2 1 (c) 0 1 1-11 2 3 6 -1 l3 2 13 1 1 0 011 0 1 1 0 1 D1 0 0101

Explanation / Answer

T(4 -2) =(-6,16)

Since linear T(ax,ay) = aT(x,y)

T(-20,10) = 5(-6,16) = (-30,80) and

T(-2,1) = (3,-8)

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