Fizaa A.

asked • 08/12/20

Please help me with this question

LaTeX: D_{n \times n}  is a square matrix. Select all statement(s) from below choices that are NOT correct.


a.) If LaTeX: |D_{n \times n}| \ne 0, then LaTeX: D_{n\times n} \cdot {\vec x} = {\vec b}has only one solution for any LaTeX: {\vec b}

b.) If LaTeX: \lambda is an eigenvalue of LaTeX: D,  then we can always find two different corresponding eigenvectors which are not multiple of each other.

c.) If LaTeX: |D_{n \times n}| = 0, then LaTeX: D has an inverse.

d.) If LaTeX: \lambdais an eigenvalue of LaTeX: D_{n \times n}, then we can always find two different corresponding eigenvectors which are multiple of each other.




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