query: Prove that a matrix is diagonalizable
positive_passages.docid: 10828
positive_passages.text: If $A^2 = I$, then $A$ is diagonalizable, and is $I$ if $1$ is its only eigenvalue
negative_passages.docid: 71833
negative_passages.text: Are idempotent matrices always diagonalizable?
negative_passages.docid: 106288
negative_passages.text: Prove that the eigenvalues of a block matrix are the combined eigenvalues of its blocks
negative_passages.docid: 30882
negative_passages.text: Proving Invertibility and Eigenvalues
negative_passages.docid: 110325
negative_passages.text: proof of basic fact that torus actions are diagonalizable
negative_passages.docid: 6659
negative_passages.text: Approximating commuting matrices by commuting diagonalizable matrices
negative_passages.docid: 34820
negative_passages.text: Transpose Operator is diagonalizable?
negative_passages.docid: 39746
negative_passages.text: How to prove that given set is a connected subset of the space of matrices?
negative_passages.docid: 87441
negative_passages.text: Proof involving matrix equation
negative_passages.docid: 31149
negative_passages.text: Prove that matrix can be square of matrix with real entries
negative_passages.docid: 142640
negative_passages.text: Prove determinant of a matrix $=\prod_{j<i}(a_i-a_j)$
negative_passages.docid: 98135
negative_passages.text: Show that the determinant of $A$ is equal to the product of its eigenvalues
negative_passages.docid: 18585
negative_passages.text: Showing $A-I$ is invertible, when $A$ is a skew-symmetric matrix
negative_passages.docid: 3682
negative_passages.text: If $V = \text{null}(\textsf{T}-\lambda\textsf{I}) \oplus \text{range}(\textsf{T}-\lambda\textsf{I})$, then prove that $\textsf{T}$ is diagonalizable
negative_passages.docid: 137920
negative_passages.text: Proving an equation with invertible matrices
negative_passages.docid: 4517
negative_passages.text: Showing a $2\times2$ matrix is invertible
negative_passages.docid: 64517
negative_passages.text: Prove that row rank of a matrix equals column rank