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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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what you know about the eigenvalues, trace,
and determinant of A
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- Give example or show that this thing doesn't exist a. A 3x3 real matrix with exactly one complex eigenvalues a tbi with b ±0 b. A linear transformation whose domain is R² and whose is the line x +y = 1 Kernel C. A rank 2, diagonalizable, 3 x3 matrix that is not diagonal itself CS Scanned with CamScannerarrow_forwardFind the eigenvalue of the transformation matrix A, also determine the eigenvectors of this matrix.arrow_forwardFind the EV of this given matrix(linear algebra)arrow_forward
- Constants: a = 2, b = 3.Answer the following for matrix A =.(a) Find the characteristic polynomial of A using the determinant. Use it to find the eigen-values.(b) Find a basis for each eigenspace. (c) Based on your answer to part (b) is A diagonalizable? If so, find matrices P and D thatdiagonalize A. If not, explain..arrow_forward1 -1 1 1 -1 3. Consider the matrix A: -1 1 -1 -1 -1 1 -1 -1 (a) Is A symmetric? Explain. (b) Is A diagonalizable? Explain. (c) Are the eigenvalues of A real? Explain.arrow_forwardLinear algebra 11 please step by step and write clarrow_forward
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