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SY CE/CSE ISE even 2026

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For two nonzero real numbers a and b, consider the system of linear equations :

ax + by = b/2

bx + ay = a/2 

 Which of the following statements is (are) TRUE?

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The rank of matrix is

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A square matrix A is invertible if and only if 
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If A is a 3 × 5 matrix, then the rank of transpose of A is at most

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Let P be a 4x4 matrix comprising of the following rows:

 [1  2  0  2] , [-1 -2 1 1],   [1  2  -3 -7],  [1  2   -2  -4]

 Then rank of P equals

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Let a,b,c be real numbers such that both b and c are not equal to 0.

Suppose P = [a  b

                       c  0]

and P^{-1} = P. Then which of the following is true

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If A is 3x3 matrix with all real entries, has an eigenvalue i

, then its other two eigenvalues can be 

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Look at the diagram and select all the statements which are correct.

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In a fixed length subnetting, the number of subnets required is 62. Find the number of 1's that must be added or subtracted to/from the default mask. 

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