If matrix A is orthogonal, show that transpose of A is equal to the inverse of A
111769
Why is inverse of orthogonal matrix is its transpose?
60723
Prove that if $A$ is normal, then eigenvectors corresponding to distinct eigenvalues are necessarily orthogonal (alternative proof)
83853
Prove that the polar decomposition of normal matrices, $A=SU$, is such that $SU=US$
47589
Product of a primitive matrix and its transpose.
50384
A matrix and its transpose have the same set of eigenvalues/other version: $A$ and $A^T$ have the same spectrum
148946
If $\mathbf{A}$ is a $2\times 2$ matrix that satisfies $\mathbf{A}^2 - 4\mathbf{A} - 7\mathbf{I} = \mathbf{0}$, then $\mathbf{A}$ is invertible
38436
If an orthogonal matrix has determinant -1 then it has -1 as an eigenvalue
147797
If $A$ is an invertible matrix, then the column span of $A$ equals $F^{n\times1}$
75066
If the product of two square matrices is invertible, then both matrices are invertible
99600
Show that a 2x2 matrix A is symmetric positive definite if and only if A is symmetric, trace(A) > 0 and det(A) > 0
57543
Show that a matrix is nilpotent.
134131
Squared norm of matrix equal to squared norm of its transpose
125195
If matrix A is invertible, is it diagonalizable as well?
118996
Prove that $T$ is an orthogonal projection
133449
A proof that an orthogonal matrix with a determinant 1 is a rotation matrix
8970
Proving the cross product matrix tranformation identity with an alternative solution
14189
If $(I-A)(I+A)^{-1}$ is orthogonal then prove that A is skew symmetric.