Consider A and B are two square matrices and B is a scalar. Calculate (BA^T B)^(-1) = * \beta (A^{-1})^T B^{-1} Non of all the above \beta B^{-1}(A^{-1})^T O \beta (BAT)^{-1}A^T
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- Find the Lower and Upper Triangular matrix using Cholesky methodFind the matrix corosponding to rotation of 90 degrees about x-axis and then find it's Eigenvectors and eigenValues?Thank you, but could you please provide a proof *without* using the eigenvalues? Please use the facts that a positive definite matrix A satisfies x^T * A * x > 0 for all nonzero v element of R^n or the fact that a positive definite matrix A can be factored as A = LU or as A = R^T * R where R is an upper triangular matrix with positive diagonal entries. Thanks!