Question

C 4 X ỗ).lf det (M) = 0, then Let matrix M4x (A) M is symmetric (B) M is invertible. (C) One eigenvalue is 13. (D) Its eigenvThe Answer is "A" (only). Is there a smart way to find that only A is the correct answer without having to go through testing all the given options? That is my question. Rest all I know how to do them. Just please help me find a smarter way.

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Answer #1

det (M) = 0 4 M= The efore, 시ㅜ- 3):서 Hence A 6 m cannot be invert;bre . since detri :0 one egenvalue connelhe symmet,,,the n04 //ere η f- eig eクレ9/4 ef α// ro7TeSA) ond 710 so they may be arh esch กา other

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