Question
Download Solution PDFयदि (AB + B)T = BTX है, तो X _____ बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
एक योग का पक्षांतर: दो आव्यूहों के योग का पक्षांतर उनके पक्षांतरों के योग के समकक्ष होता है: (A + B)T = AT + BT
एक गुणनफल का पक्षांतर: दो आव्यूहों के गुणनफल का पक्षांतर विपरीत क्रम में उनके पक्षांतरों के गुणनफल के समकक्ष है: (AB)T = BT AT
गणना:
दिया गया है: (AB + B)T = BTX
⇒ (AB + B)T
= (AB)T + BT
= BTAT + BTI
= BT (AT + I) = BT X
∴ X = (AT + I)
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