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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. \(\begin{array}{*{20}{c}} 5&1&3\\ 9&9&4\\ 6&?&7\\ {29}&{22}&{18} \end{array}\)
The scope for violating research ethics is considered to be relevant in respect of which of the following stages in a research study? A. Formulating research hypothesis and setting up a Null hypothesis for testing it B. Defining and delimiting the scope of the research study C. Analysing and interpreting research data D. In defining a research population and method of sampling E. Reporting the research findings and using the same as a basis for policy formulation Choose the correct answer from the options given below:
In the list of statements given below which of them offer a suitable definition of research? Give your answer by selecting from the code. 1) Research means a repeated search. 2) Research is basically an answer to a question. 3) Research provides an authentic solution to a problem. 4) Research is an endeavour to prove one's hypothesis. 5) Research is a meaning-giving process. 6) Research means drawing a sample from a defined population.
Which of the following statements best reflect the meaning and characteristics of research? Code: (a) Research means challenging the status quo. (b) Research is an endeavor to collect facts and information. (c) Research is a synthesis of deductive and inductive processes. (d) Research means proving one’s assertions and beliefs. (e) Research is a careful review of reported studies. (f) Research is a critical and passionate search for knowledge.