logo

Ask Questions, Get Answers

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

Construct $a_{2\times 2}$ matrix where $a_{ij} =|2i+3j|$

Can you answer this question?
 
 

1 Answer

0 votes
Toolbox:
  • In general $a_{2\times 2}$ matrix is given by $A=\begin{bmatrix}a_{11} & a_{12}\\a_{21} &a_{22}\end{bmatrix}$
Step1
Elements are given by
$a_{ij}=|2i+3j|$
Replace i=1,j=1.
$a_{11}=|2(1)+3(1)|$
$\;\;\;\;\;\;=|2+3|$
$\;\;\;\;\;\;=5$
$a_{12}=|2i+3j|$
Replace i=1,j=2.
$a_{12}=|2(1)+3(2)|$
$\;\;\;\;\;\;=|2+6|=|8|=8$
Step 2:
$a_{21}=|2i+3j|$
Replace i=2,j=1.
$a_{21}=|2(2)+3(1)|$
$\;\;\;\;\;\;=|4+3|=|7|=7.$
$a_{22}=|2i+3j|$
Replace i=2,j=2.
$a_{22}=|2(2)+3(2)|$
$\;\;\;\;\;\;=|4+6|=|10|=10.$
Step3:
Hence the required matrix is given by $A=\begin{bmatrix}5 & 8\\7 &10\end{bmatrix}$
answered Mar 21, 2013 by sharmaaparna1
edited Apr 3, 2013 by sreemathi.v
 

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
...