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1. Find the eigenvalues and eigenvectors of A = -2 Are the eigenvectors linearly independent? Why? tor 1-210 2. Is A nonsingular? Why? Find its inverse if any. 2. 3. Do the columns of A span IR?? Why? Sull Setof Qivaと 4. Is the vector [0 0 1]" a linear combination of the columns of 3 4 -2 B = -1 2 2 ? Why? 2. 5. Find the solution of the system BX = [6 0 2]", if any.

1. Find the eigenvalues and eigenvectors of A = -2 Are the eigenvectors linearly independent? Why? tor 1-210 2. Is A nonsingular? Why? Find its inverse if any. 2. 3. Do the columns of A span IR?? Why? Sull Setof Qivaと 4. Is the vector [0 0 1]" a linear combination of the columns of 3 4 -2 B = -1 2 2 ? Why? 2. 5. Find the solution of the system BX = [6 0 2]", if any.

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. Find the eigenvalues and eigenvectors of A = -2 Are the eigenvectors 2. tor linearly independent? Why? 1-2!10 2. Is A nonsingular? Why? Find its inverse if any. 3. Do the columns of A span R?? Why? S ull Setof Qivaを 4. Is the vector [0 0 1]T a linear combination of the columns of 3 4 -2 B = -1 2 ? Why? 1 2. 5. Find the solution of the system BX = [6 0 2]', if any.
Transcribed Image Text:1. Find the eigenvalues and eigenvectors of A = -2 Are the eigenvectors 2. tor linearly independent? Why? 1-2!10 2. Is A nonsingular? Why? Find its inverse if any. 3. Do the columns of A span R?? Why? S ull Setof Qivaを 4. Is the vector [0 0 1]T a linear combination of the columns of 3 4 -2 B = -1 2 ? Why? 1 2. 5. Find the solution of the system BX = [6 0 2]', if any.
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