Recent content by allanmulin

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    Undergrad Determining invertibility of a matrix

    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.
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    Undergrad Determining invertibility of a matrix

    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)
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    Undergrad Determining invertibility of a matrix

    The example you gave yields incompatible dimensions: AB is 1x2 and CD is 2x1.
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    Undergrad Determining invertibility of a matrix

    A and D are rectangular, not square.
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    Undergrad Determining invertibility of a matrix

    A and D are non-zero matrices, forget to say.
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    Undergrad Determining invertibility of a matrix

    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?