Which of the following statements are true?

All square matrices are diagonal matrices.

All diagonal matrices are square matrices.

The size of any square matrix is m x m, where m is a positive integer.

All coefficient matrices are square matrices.

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Answer:

All diagonal matrices are square matrices.

The size of any square matrix is m x m, where m is a positive integer.

The statements that are true are:

  • All diagonal matrices are square matrices.
  • The size of any square matrix is m x m, where m is a positive integer.

The following information should be considered;

  • All square matrices should not be diagonal matrices.
  • All coefficient matrices should not be square matrices.
  • Therefore, the above two options should be considered true statement.

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