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Given that 1, 2 and O are eigenvalues of matrix S. The following number is a possible value of x except (1 4 x) S=0 2 2)- o o o/ A O B. 2 C. 4 D. None of the above

Given that 1, 2 and O are eigenvalues of matrix S. The following number is a possible value of x except (1 4 x) S=0 2 2)- o o o/ A O B. 2 C. 4 D. None of the above

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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7. Given that 1, 2 and 0 are eigenvalues of matrix S. The following number is a possible value of x except s- (1 4 x S =0 2 2 0 0 0/ A. 0 B. 2 C. 4 D. None of the above 8. Consider a 3x3 matrix A with eigenvalues 1, h2 and ha. What will be the eigenvalues of A "? B. -A1, -A2, -As C. 1/A.1, 1/2.2, 1/h3. D. None of the above 9. Consider v, = (2), vz = (9) and v3 3 as vectors in R³. Let T: R»R be a linear transformation such that T(v,) = (,), T(v2) = (,"') and T(v,) = Find T 13 ^ () A. В. C. D. None of the above
Transcribed Image Text:7. Given that 1, 2 and 0 are eigenvalues of matrix S. The following number is a possible value of x except s- (1 4 x S =0 2 2 0 0 0/ A. 0 B. 2 C. 4 D. None of the above 8. Consider a 3x3 matrix A with eigenvalues 1, h2 and ha. What will be the eigenvalues of A "? B. -A1, -A2, -As C. 1/A.1, 1/2.2, 1/h3. D. None of the above 9. Consider v, = (2), vz = (9) and v3 3 as vectors in R³. Let T: R»R be a linear transformation such that T(v,) = (,), T(v2) = (,"') and T(v,) = Find T 13 ^ () A. В. C. D. None of the above
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