logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  CBSE XII  >>  Math  >>  Model Papers
0 votes

Construct a 2 x 2 matrix \( A = [ a_{ij} ]\), whose elements are given by \( a_{ij} \) is \( \large\frac{( \hat i + \hat j )^2}{2} \)

Can you answer this question?
 
 

1 Answer

0 votes
Toolbox:
  • The number or functions occurring in the rectangular array are called the elements of the matrix or entries of the matrix. The element of the matrix is given by ith row and jth column.
  • 2 x 2 matrix = $A=\begin{bmatrix}a{11} & a{12}\\a{21} & a{22}\end{bmatrix}$
Step1:
Given:
$a_{ij}=\frac{(i+j)^2}{2}$
$a_{11}$ where i=1,j=1
$a_{11}=\frac{(1+1)^2}{2}=\frac{2^2}{2}=\frac{4}{2}=2.$
$a_{12}$ where i=1,j=2
$a_{11}=\frac{(1+2)^2}{2}=\frac{3^2}{2}=\frac{9}{2}.$
Step 2:
$a_{21}$ where i=2,j=1
$a_{21}=\frac{(2+1)^2}{2}=\frac{3^2}{2}=\frac{9}{2}.$
$a_{22}$ where i=2,j=2
$a_{22}=\frac{(2+2)^2}{2}=\frac{4^2}{2}=\frac{16}{2}=8.$
Step3:
Hence $A=\begin{bmatrix}2 & \frac{9}{2}\\\frac{9}{2} & 8\end{bmatrix}$
answered Apr 8, 2013 by sharmaaparna1
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...