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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 “&&$$&$”?
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. \(\begin{array}{*{20}{c}} 5&1&3\\ 9&9&4\\ 6&?&7\\ {29}&{22}&{18} \end{array}\)
Two processes X and Y need to access a critical section. Consider the following synchronization construct used by both the processes Process ? /* other code for process ? */ while(true) { varP = true; while(varQ == true) { /* Critical Section */ varP = false; } } /* other code for process ?? */   Process ? /* other code for process ? */ while(true) { varQ = true; while(varP == true) { /* Critical Section */ varQ = false; } } /* other code for process ? */   Here, varP and varQ are shared variables and both are initialized to false. Which one of the following statements is true?
Consider the following statements.
1. All valid arguments contain only true premises and a true conclusion.
2. Some valid arguments contain only false propositions - false premises and a true conclusion.
3. All valid arguments contain only false propositions all premises are false, conclusion is false as well.
Which of the above statements is correct?
In its journey from station A to D, a train takes 2 hrs. 18 min. between A & B, 3 hrs. 3 min. between B & C and 5 hrs. 39 min. between C & D. If the distance between A & B is 144 km, between B & C is 206 km and between B & D is 476 km, find the average speed of the train in the whole journey.