Most Important Selected Qs for JEE AdvancedMathematicsMatrices

Matrices of order 2 2 are formed by using the elements of the set A= -2,-1,0,1,2 , then probability that matrix is either symmetric or skew-symmetric, is greater than:

Options

A1 10
B2 10
C3 10
D4 10

Correct answer

B. 2 10

Step-by-step solution

Total matrices =5^4 For symmetric =5^3 and for skew-symmetric = diagonals can be filled in one ways =5 matrices 1 matrix (i.e., null matrix) is common. Probability = 5^3+5-1 5^4 = 1 5 + 1 5^3 - 1 5^4 = 129 625 =0.203

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