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The Power method can be used only to find the eigen value of A that is largest in absolute call this eigen value the dominant eigen value of A.

True
The Power method is specifically used to find the dominant eigenvalue of a matrix.

Eigenvalues of a symmetric matrix are all Real Zero Positive Negative.

Real
Symmetric matrices have real eigenvalues.

The determinant of a matrix is the product of the diagonal elements.

Diagonal
Upper triangular
Lower triangular
Scalar

The determinant of a matrix is calculated by multiplying the diagonal elements.

The method is applicable to strictly diagonally dominant or symmetric positive definite matrices A.

True
Explanation:
This method is suitable for matrices that are strictly diagonally dominant or symmetric positive definite.

unity
Explanation
A normalized eigenvector has a magnitude of 1, making it a unit vector.

The method is a method of solving a matrix equation on a matrix that has zeros along its main diagonal.

At least one
This method involves solving equations on a matrix with zeros along the main diagonal.

If n x n matrices A and B are similar, then they have the different eigenvalues (with the same multiplicities).

Flase
Similar matrices have the same eigenvalues with the same multiplicities.

A 3 x 3 identity matrix have three and different eigen values.

True
An identity matrix has diagonal elements as 1 and all other elements as 0, resulting in three distinct eigenvalues.

A 3 x 3 identity matrix have three and different eigen values.

True
An identity matrix has diagonal elements as 1 and all other elements as 0, resulting in three distinct eigenvalues.

Power method is applicable if the eigen vectors corresponding to eigen values are linearly independent.

True
The power method is used to find the dominant eigenvalue of a matrix and requires linearly independent eigenvectors for convergence.

The determinant of a diagonal matrix is the product of the diagonal elements.

True
In a diagonal matrix, all non-diagonal elements are zero, and the determinant is calculated by multiplying the diagonal elements.

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