Define the linear transformation T by T(x) = AX. 2 -1 -2 1 1 1 2-1 4 -4 -3 -1 -3 (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) ker(7) = 3 1 -1 (b) Find the range of T. O span{(1, 0, 0, -1), (0, 0, 1, -1)} span{(1, 0, 0, -1), (0, 1, 0, 0), (0, 0, 1, -1)} span{(1, 0, 0, -1), (0, 1, 0, 0)) R4 R³

Define the linear transformation T by T(x) = AX. 2 -1 -2 1 1 1 2-1 4 -4 -3 -1 -3 (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) ker(7) = 3 1 -1 (b) Find the range of T. O span{(1, 0, 0, -1), (0, 0, 1, -1)} span{(1, 0, 0, -1), (0, 1, 0, 0), (0, 0, 1, -1)} span{(1, 0, 0, -1), (0, 1, 0, 0)) R4 R³

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 4CM

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