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## Which of the following statements is true? (Select all that apply.) A is diagonalizable because it has 3 distinct eigenvalues. A is diagonalizable because it is a symmetric matrix. A is diagonalizable because it is an anti-diagonal matrix. A is diagonalizable because it has 3 linearly independent eigenvectors .A is diagonalizable because it is a square matrix. A is diagonalizable because it has a nonzero determinant. A is diagonalizable because it has a determinant of 0.

can u do only las part please about which statment is true

prove that the symmetric matrix is diagonalizable. (Assume that a is real.)

A =

 0
a a
0 a 0
a 0 0

Find the eigenvalues of A. (Enter your answers as a comma-separated list. Do not list the same eigenvalue multiple times.)

λ =

−a,a

Find an invertible matrix P such that

P−1AP

is diagonal.

P =

Which of the following statements is true? (Select all that apply.)

A is diagonalizable because it has 3 distinct eigenvalues.
A is diagonalizable because it is a symmetric matrix.
A is diagonalizable because it is an anti-diagonal matrix.
A is diagonalizable because it has 3 linearly independent eigenvectors
.A is diagonalizable because it is a square matrix.
A is diagonalizable because it has a nonzero determinant.
A is diagonalizable because it has a determinant of 0.
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