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     EduGorilla 
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    Study the following assertions about a square matrix

    (i) The sum of the eigen values of A is equal to its trace
    (ii) The product of the eigen values of A is equal to its determinant
    (iii) All eigen values of A are non-zero, if and only if A is non-singular
    (iv) If A-1 exists, then the eigen-values of A-1 are equal to the reciprocal of the eigen

    Which of the following is correct with respect to above assertions?

    Options :-

    1. Only (iii) and (iv) are true
    2. Only (i) and (ii) are true
    3. Only (ii), (iii) and (iv) are true
    4. (i), (ii), (iii), (iv) all are true
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Reply To: Study the following assertions about a square matrix(i) The sum of the eigen values of A is equal to….
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