Comments

• In general it is not possible to solve for A. For example, taking B = I to be the identity matrix, the condition AA^T = I expresses the fact that the columns of A are orthogonal unit vectors (or equivalently that the rows of A are orthogonal unit v…

  in solve a matrix A if A times A transpose equals B? Comment by mcbengt June 2021
• It helps to see a concrete case. Suppose P has degree 3 and we call the roots p, q, and r. Then P(z) = (z - p)(z - q)(z - r) and expanding the product on the right hand side and collecting like terms shows you that P(z) = z^3 + (-(p + q + r)) …

  in Complex Analysis Problem? Comment by mcbengt June 2021
• It helps to see a concrete case. Suppose P has degree 3 and we call the roots p, q, and r. Then P(z) = (z - p)(z - q)(z - r) and expanding the product on the right hand side and collecting like terms shows you that P(z) = z^3 + (-(p + q + r)) …

  in Complex Analysis Problem? Comment by mcbengt May 2021
• It helps to see a concrete case. Suppose P has degree 3 and we call the roots p, q, and r. Then P(z) = (z - p)(z - q)(z - r) and expanding the product on the right hand side and collecting like terms shows you that P(z) = z^3 + (-(p + q + r)) …

  in Complex Analysis Problem? Comment by mcbengt May 2021
• In general it is not possible to solve for A. For example, taking B = I to be the identity matrix, the condition AA^T = I expresses the fact that the columns of A are orthogonal unit vectors (or equivalently that the rows of A are orthogonal unit v…

  in solve a matrix A if A times A transpose equals B? Comment by mcbengt May 2021
• In general it is not possible to solve for A. For example, taking B = I to be the identity matrix, the condition AA^T = I expresses the fact that the columns of A are orthogonal unit vectors (or equivalently that the rows of A are orthogonal unit v…

  in solve a matrix A if A times A transpose equals B? Comment by mcbengt May 2021