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(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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1 1 3 Consider the matrix A = -2 8 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 transformation 7H Aã? 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.
Transcribed Image Text:1 1 3 Consider the matrix A = -2 8 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 transformation 7H Aã? 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.
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