Recent content by abonaser

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    Matrix Properties : A2 + 6A +9I3 = 0, show that A is invertible

    Thank you!
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    Properties of Invertible Matrices: A2-AB+BA-B2 is Singular

    aha I see right, I am really lost with this whole matrices situation haha thanks a lot for the help!
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    Properties of Invertible Matrices: A2-AB+BA-B2 is Singular

    well if det(A-B)=0. Then det((A-B)(A+B))=0 and the matrix is singular! I am trying to understand though, how did you know that det(A-B)=0? and thanks a lot for all the help!
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    Properties of Invertible Matrices: A2-AB+BA-B2 is Singular

    alright I am not sure how to calculate the determinant, because we are not actually given any information besides to the matrices A and B are nxn matrices
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    Properties of Invertible Matrices: A2-AB+BA-B2 is Singular

    Show the following: If A and B are n x n matrices such that A - B is singular then A2 - AB + BA - B2 is also singular. I really have no clue how to solve this, but I am guessing that AB does not equal BA, I don't know how that can help or be relevant but just in case Thanks a lot...
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    Matrix Properties : A2 + 6A +9I3 = 0, show that A is invertible

    I have the same question, I don't see how the matrix is invertible, can anyone please explain?