True/False: $$ matrices $$ and $$ are said to be similar if $$ for some invertible matrix $$.
True False
Let $$ and let $$. What is $$?
$$ $$ $$ $$

Let $$ and let $$. What is $$?
$$ $$ $$ $$

Let $$ such that $$ and $$. Compute the following:

$$

$$

True/False: An $$ matrix $$ is diagonalizable if and only if $$ has exactly $$ eigenvectors.
True False
True/False: If a $$ matrix $$ has a linearly independent set of four eigenvectors, then $$ is diagonalizable.
True/False: It is possible for an $$ matrix $$ to have a linearly independent set of more than $$ eigenvectors.
$$ has $$ eigenvalues (counting multiplicities). For each eigenvalue, the eigenspace has dimension less than or equal to the multiplicity of the eigenvalue.