Let the following matrices and be given in MATLAB:
A = [3, 1, 2; 4, 1, 0; 3, 1, 4];
B = [6, 2, -3; 2, 4, 1; -3, 1, 13];
Let also the matrices (where is the transpose of ) and be given.
Which of the following statements is correct?

Question

Let the following matrices    and    be given in MATLAB: 
 A = [3, 1, 2; 4, 1, 0; 3, 1, 4]; 
 B = [6, 2, -3; 2, 4, 1; -3, 1, 13]; 
 Let also the matrices    (where    is the transpose of   ) and    be given.  
 Which of the following statements is correct?

Answer

Among the given matrices, the only ones that admit a Cholesky factorization are    and   . Moreover, the determinants of their Cholesky factors are both less than   .

Answer

Among the given matrices, the only one that admits a Cholesky factorization is   . Moreover, the rank of the Cholesky factor of    is equal to the rank of   .

Answer

None of the given matrices admits a Cholesky factorization.

Answer

Among the given matrices, the only ones that admit a Cholesky factorization are    and   . Moreover, the determinants of their Cholesky factors are both greater than   .

Crowdly

Let the following matrices and be given in MATLAB: A = [3, 1, 2; 4, 1, 0...

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