If a matrix A square is 0, does it follow that A = 0?
44596
If $A$ is a square matrix and $A^2 = 0$ then $A=0$. Is this true? If not, provide a counter-example.
4443
Why is the determinant zero iff the column vectors are linearly dependent?
38550
2x2 matrices with sum of diagonal entries equal zero
126711
What is the square matrix $A$ equal to if $A=A^2$
140086
Does $3-4+1$ equal $0$ or $-2$.. or maybe $2$?
11620
Is it true that any matrix in $M_2(\mathbb R)$ is the sum of two squares?
102707
Why square matrix with zero determinant have non trivial solution
86125
If $A$ is idempotent, then the eigenvalues of $A$ are $0$ or $1$
76790
Condition to guarantee $f=0$ on $[a,b]$
140415
When does a Square Matrix have an LU Decomposition?
61274
If $AA^T$ is the zero matrix, then $A$ is the zero matrix
22776
Squares in Matrix
18297
Suppose that each of the row sums of an $n\times n$ matrix $A$ is equal to zero. Show that $A$ must be singular.
9250
Can the zero vector be an eigenvector for a matrix?
124734
If $A^3=O$ is the matrice $A^2-A+I$ invertible?
121062
Given a matrix, is there always another matrix which commutes with it?
96554
Why is $x^0 = 1$ except when $x = 0$?