एक `3xx4` आव्यूह की रचना कीजिए जिसके अवयव लिखित प्रकार होते हैं :
(i) `a_(ij)=(1)/(2)|-3i+j|`
(ii) `a_(ij)=2i-j`

Explanation

(i) माना `A=[{:(a_(11),a_(12),a_(13),a_(14)),(a_(21),a_(22),a_(23),a_(24)),(a_(31),a_(32),a_(33),a_(34)):}]`
जहाँ `A=(1)/(2)|-3i+j|`
`thereforea_(11)=(1)/(2)|-3xx1+1|=1`,
`a_(12)=(1)/(2)|-3xx1+2|=(1)/(2)`,
`a_(13)=(1)/(2)|-3xx1+3|=0`,
`a_(14)=(1)/(2)|-3xx1+4|=(1)/(2)`,
`a_(21)=(1)/(2)|-3xx2+1|=(5)/(2)`,
`a_(22)=(1)/(2)|-3xx2+2|=2`,
`a_(23)=(1)/(2)|-3xx2+3|=(3)/(2)`,
`a_(24)=(1)/(2)|-3xx2+4|=1`,
`a_(31)=(1)/(2)|-3xx3+1|=4`,
`a_(32)=(1)/(2)|-3xx3+2|=(7)/(2)`,
`a_(33)=(1)/(2)|-3xx3+3|=3`,
`a_(34)=(1)/(2)|-3xx3+4|=(5)/(2)`
`thereforeA=[{:(1,(1)/(2),0,(1)/(2)),((5)/(2),2,(3)/(2),1),(4,(7)/(2),3,(5)/(2)):}]`
(ii) माना `A=[{:(a_(11),a_(12),a_(13),a_(14)),(a_(21),a_(22),a_(23),a_(24)),(a_(31),a_(32),a_(33),a_(34)):}]`
जहाँ `a_(ij)=2i-j`
`a_(11)=2xx1-1=1`,
`a_(12)=2xx1-2=0`,
`thereforea_(13)=2xx1-3=-1`,
`a_(14)=2xx1-4=-2`
`a_(21)=2xx2-1=3`,
`a_(22)=2xx2-2=2`,
`a_(23)=2xx2-3=1`,
`a_(24)=2xx2-4=0`
`a_(31)=2xx3-1=5`,
`a_(32)=2xx3-2=4`,
`a_(33)=2xx3-3=3`,
`a_(34)=2xx3-4=2`
`thereforeA=[{:(1,0,-1,-2),(3,2," "1,0),(5,4," "3,2):}]`