Show that the given symmetric matrix A is positive definite by finding the determinants of its leading principal submatrices. Then find the LDU-factorization of A. 
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Q14: If Q15: If Q16: Determine if the matrix A is positive Q17: Determine if the matrix A is positive Q18: Determine if the matrix A is positive Q20: Show that the given matrix is positive Q21: Show that the given matrix is positive Q22: Show that the given matrix is positive Q23: Find the Cholesky decomposition Q24: Find the Cholesky decomposition 
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