Consider the following information regarding the number of men and women workers in three factories $I, II$ and $III$.
Factory Men and Women Workers $I$ $30$ Men,$25$ Women $II$ $25$ Men,$31$ Women $III$ $27$ Men,$26$ Women
Represent the above information in the form of a $3 \times 2$ matrix. What does the entry in the third row and second column represent?
| Factory | Men and Women Workers |
|---|---|
| $I$ | $30$ Men,$25$ Women |
| $II$ | $25$ Men,$31$ Women |
| $III$ | $27$ Men,$26$ Women |
Represent the above information in the form of a $3 \times 2$ matrix. What does the entry in the third row and second column represent?
(N/A) The information is represented in the form of a $3 \times 2$ matrix $A$ as follows:
$A = \begin{bmatrix} 30 & 25 \\ 25 & 31 \\ 27 & 26 \end{bmatrix}$
In this matrix,the rows represent the factories $(I, II, III)$ and the columns represent the gender of the workers (Men,Women).
The entry in the third row and second column is $26$.
This entry represents the number of women workers in factory $III$.
$A = \begin{bmatrix} 30 & 25 \\ 25 & 31 \\ 27 & 26 \end{bmatrix}$
In this matrix,the rows represent the factories $(I, II, III)$ and the columns represent the gender of the workers (Men,Women).
The entry in the third row and second column is $26$.
This entry represents the number of women workers in factory $III$.
Explore More
Similar Questions
If $A_1, A_3, \dots, A_{2n-1}$ are $n$ skew-symmetric matrices of the same order,then $B = \sum_{r=1}^n (2r-1)(A_{2r-1})^{2r-1}$ will be:
If $A = \begin{bmatrix} 1 & 2 \\ 0 & 1 \end{bmatrix}$,then ${A^n} = $
Easy
View SolutionLet $A$ be a $2 \times 2$ real matrix with entries from $\{0, 1\}$ and $|A| \neq 0$. Consider the following two statements:
$(P)$ If $A \neq I_{2}$,then $|A| = -1$
$(Q)$ If $|A| = 1$,then $\operatorname{tr}(A) = 2$
where $I_{2}$ denotes the $2 \times 2$ identity matrix and $\operatorname{tr}(A)$ denotes the sum of the diagonal entries of $A$. Then:
$(P)$ If $A \neq I_{2}$,then $|A| = -1$
$(Q)$ If $|A| = 1$,then $\operatorname{tr}(A) = 2$
where $I_{2}$ denotes the $2 \times 2$ identity matrix and $\operatorname{tr}(A)$ denotes the sum of the diagonal entries of $A$. Then:
DifficultJEE MAIN 2020
View SolutionIf $A=\left[\begin{array}{rr}i & -i \\ -i & i\end{array}\right]$ and $B=\left[\begin{array}{rr}1 & -1 \\ -1 & 1\end{array}\right]$,then find $A^8$. (in $B$)
If $A = \begin{bmatrix} 1 & 0 & 0 \\ 2 & 1 & 0 \\ -3 & 2 & 1 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & 0 & 0 \\ -2 & 1 & 0 \\ 7 & -2 & 1 \end{bmatrix}$,then $AB$ equals
DifficultAIEEE 2012
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo