1.

आव्यूह की प्रारंभिक संक्रियाओं द्वारा निम्न आव्यूह A का व्युत्क्रम (प्रतिलोम) ज्ञात करो-`[{:(3,-1),(-4," "2):}]`

Answer» मान `[{:(3,-1),(-4," "2):}]`
अब A = IA
`rArr[{:(3,-1),(-4," "2):}]=[{:(1,0),(0,1):}]A`
`rArr[{:(1,-(1)/(3)),(-4," "2):}]=[{:((1)/(3),0),(0,1):}]A " " R_(1)to(1)/(3)R_(1)`
`rArr[{:(1,-(1)/(3)),(0,(2)/(3)):}]=[{:((1)/(3),0),((4)/(3),1):}]A " " R_(2)toR_(2)+4R_(1)`
`rArr[{:(1,-(1)/(3)),(0," "1):}]=[{:((1)/(3),0),(2,(3)/(2)):}]A " " R_(2)to(3)/(2)R_(2)`
`rArr[{:(1,0),(0,1):}]=[{:(1,(1)/(2)),(2,(3)/(2)):}]A " " R_(1)toR_(1)+(1)/(3)R_(2)`
`thereforeA^(-1)=[{:(1,(1)/(2)),(2,(3)/(2)):}]`


Discussion

No Comment Found

Related InterviewSolutions