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Let M be a 2xx2 symmetric matrix with in...

Let M be a `2xx2` symmetric matrix with integer entries.
Then , M is invertible, if

A

the first columb of M is the traspose of the second row of M

B

the second row of M is the transpose of first column of M

C

M is a diagonal matrix with nonzero entrires in the main diagonal

D

the product of entries in the main diagonal of M is not the square of an integer

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The correct Answer is:
C, D
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RESONANCE ENGLISH-MATRICES & DETERMINANT-EXERCISE-3
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  2. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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  4. Let P=[a(i j)] be a 3xx3 matrix and let Q=[b(i j)],w h e r eb(i j)=2^(...

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  7. For 3xx3 matrices M \ a n d \ N , which of the following statement (s)...

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  8. Let M be a 2xx2 symmetric matrix with integer entries. Then , M is i...

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  9. Let M and N be two 3xx3 matrices such that MN=NM. Further, if M ne N^(...

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  10. Let X \ a n d \ Y be two arbitrary, 3xx3 , non-zero, skew-symmetric ma...

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  11. Which of the following values of alpha satisfying the equation |(1+alp...

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  15. Let alpha, lambda , mu in R.Consider the system of linear equations ...

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  16. Which of the following is (are) NOT the square of a 3xx3 matrix with r...

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  17. for a real number alpha if the system [{:(1,,alpha,,alpha^(2)),(alp...

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  18. How many 3xx3 matrices M with entries from {0, 1, 2} are there, for wh...

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