Linear transformation T defined by T(x) = Ax, %3D -1 1 where A = 1 -2 -3. Determine the rank and nullity of it. (a) rank is 1, nullity is 2 (b) rank is 1, nullity is 1 (c) rank is 2, nullity is 2 (d) rank is 2, nullity is 1

Linear transformation T defined by T(x) = Ax, %3D -1 1 where A = 1 -2 -3. Determine the rank and nullity of it. (a) rank is 1, nullity is 2 (b) rank is 1, nullity is 1 (c) rank is 2, nullity is 2 (d) rank is 2, nullity is 1

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 27E: Finding the Kernel, Nullity, Range, and Rank In Exercises 19-32, define the linear transformation T...

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Question

Linear transformation T defined by T(x) = Ax,
1
-1
where A
1
-2
-3
Determine the rank and nullity of it.
(a) rank is 1, nullity is 2
(b) rank is 1, nullity is 1
(c) rank is 2, nullity is 2
(d) rank is 2, nullity is 1

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