Question: Problem # 1: Consider the following statements. [3 marks] (i) A square matrix has a zero eigenvalue if and only if its determinant is zero.

Problem # 1: Consider the following statements.
Problem # 1: Consider the following statements. [3 marks] (i) A square matrix has a zero eigenvalue if and only if its determinant is zero. (ii) If the difference of two indiees at the regular singular point is integer, the second-order equation has only one linearly independent solution. (iii) Every real quadratic form can be represented by a real symmetric matrix. Determine whieh of the above statements are True [1] or False (2). So, for example, if you think that the answers, in the above order, are True,False,False then you would enter '1 2,2; into the answer box below (without the quotes)

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