(1 0 1 1 3 Consider the matrix A = -2 8 1 4 -1 |Determine whether the matrix is invertible or not using only observable properties of the matrix, that is, no calculation. Explain how your arrived at your determination. In light of your previous answer, what can be said about the linear transformationIH AT? Why? What can be said about Col A and Nul A in this case? Why? Sketch a function picture indicating the domain and codomain. Then identify Col A, identify Nul A in your picture and indicate where Nul A maps to.

(1 0 1 1 3 Consider the matrix A = -2 8 1 4 -1 |Determine whether the matrix is invertible or not using only observable properties of the matrix, that is, no calculation. Explain how your arrived at your determination. In light of your previous answer, what can be said about the linear transformationIH AT? Why? What can be said about Col A and Nul A in this case? Why? Sketch a function picture indicating the domain and codomain. Then identify Col A, identify Nul A in your picture and indicate where Nul A maps to.

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 67E: Guided Proof Let B be an invertible nn matrix. Prove that the linear transformation T:Mn,nMn,n...

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