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Consider the 5 × 5 matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&2&3&4&5 \\ 5&1&2&3&4 \\ 4&5&1&2&3 \\ 3&4&5&1&2 \\ 2&3&4&5&1 \end{array}} \right
Select from the alternatives that combination of numbers, which will form a meaningful word if given letters are arranged accordingly. \(\begin{matrix} \ \ \ \text{A} & \rm R & \rm W & \rm L & \rm E & \rm K \\\ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\\ \ \ 1 & 2 & 3 & 4 & 5 & 6 \end{matrix}\)
Eigen values of the matrix \[\left[ {\begin{array}{*{20}{c}} 0&1&0&0 \\ 1&0&0&0 \\ 0&0&0&{ - 2i} \\ 0&0&{2i}&0 \end{array}} \right
Let A be an m × n matrix and Ban n × m matrix. It is given that determinant ($$I$$m + AB) = determinant ($$I$$n + BA), where $$I$$k is the k × k identity matrix. Using the above property, the determinant of the matrix given below is
\[\left[ {\begin{array}{*{20}{c}} 2&1&1&1 \\ 1&2&1&1 \\ 1&1&2&1 \\ 1&1&1&2 \end{array}} \right
In a coded language “ADETP” is coded as “$&$&&” and “DTPQUV” is coded as “&&&&$&”? What is the code word for “&&$$&$”?
Consider the following partial Schedule S involving two transactions T1 and T2. Only the read and the write operations have been shown. The read operation on data item P is denoted by read(P) and the write operation on data item P is denoted by write(P) Time Instance Transaction-id T1 T2 1 read(A)   2 write(A)   3   read(C) 4   write(C) 5   read(B) 6   write(B) 7   read(A) 8   Commit 9 read(B)     Schedule S   Suppose that the transaction T1 fails immediately after time instance 9. Which one of the following statements is correct?
For what value of x, y and z matrices A and B are equal \(A = \begin{bmatrix} 2 & 0 & x+3 \\\ y-4 & 4 & 6 \end{bmatrix} ; \ \ B = \begin{bmatrix} 2 & 0 & 6 \\\ -2 & 4 & 2z \end{bmatrix}\)
In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives. \(\begin{array}{*{20}{c}} 5&1&3\\ 9&9&4\\ 6&?&7\\ {29}&{22}&{18} \end{array}\)
In a club of 80 members, 10 members play none of the games Tennis, Badminton and Cricket. 30 members play exactly one of these three games and 30 members play exactly two of these games. 45 members play at least one of the games among Tennis and Badminton, whereas 18 members play both Tennis and Badminton. The number of Cricket playing members is:
Which of the following is not a Pythagorean triplet?