Write whether the following statements are true or false with the whole word. (a) (5) If M is a matrix with eigenvalue λ, the matrix M – XI is never invertible. (b) () The matrix (1). (c) () Rotation (2 × 2) matrices always have real eigenvalues. (7²2) 1 has eigenvector

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Write whether the following statements are true or false with the whole word.
(a) (5) If M is a matrix with eigenvalue λ, the matrix M – XI is never invertible.
(b) () The matrix
(1).
(c) () Rotation (2 × 2) matrices always have real eigenvalues.
(7²2)
1
has eigenvector
Transcribed Image Text:Write whether the following statements are true or false with the whole word. (a) (5) If M is a matrix with eigenvalue λ, the matrix M – XI is never invertible. (b) () The matrix (1). (c) () Rotation (2 × 2) matrices always have real eigenvalues. (7²2) 1 has eigenvector
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