Recent content by allanmulin

Yeah, you're right. Thanks a lot. It seems there is some more information in my physical problem to show that C should be invertible, but could not find it yet.

That's what I am trying to do! B and C should have the same dimension. A(m x n), B(n x n), C(m x m), D(m x n)

The example you gave yields incompatible dimensions: AB is 1x2 and CD is 2x1.

A and D are rectangular, not square.

A and D are non-zero matrices, forget to say.

Let A, B, C, D be matrices such that: AB + CD = 0 and B is invertible. Moreover, consider the dimension restrictions: A(m x n), B(n x n), C(m x m), D(m x n) If C is a square matrix, is there a way to show that it is also invertible with only the above conditions?