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Let 
and 
. If B is the inverse of matrix A, then α is
and . If B is the inverse of matrix A, then α is- a)–2
- b)–1
- c)2
- d)5
Correct answer is option 'D'. Can you explain this answer?
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Letand. If B isthe inverse of matrix A, then αisa)–2b)&nda...
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Letand. If B isthe inverse of matrix A, then αisa)–2b)&nda...
Since, B is the inverse of matrix A.
So, 10A−1 = {(4,2,2) (-5,0,α) (1,-2,3)}
⇒ 10A-1 . A = {(4,2,2) (-5,0,α) (1,-2,3)} . {(1,-1,1) (2,1,-3) (1,1,1)}
⇒ 10I = {(10,0,0) (-5+α, 5+α, -5+α) (0,0,10)}
⇒ {(10,0,0) (0,10,0) (0,0,10)} = {(10,0,0) (-5+α, 5+α, -5+α) (0,0,10)}
−5+α=0
⇒ α=5
So, 10A−1 = {(4,2,2) (-5,0,α) (1,-2,3)}
⇒ 10A-1 . A = {(4,2,2) (-5,0,α) (1,-2,3)} . {(1,-1,1) (2,1,-3) (1,1,1)}
⇒ 10I = {(10,0,0) (-5+α, 5+α, -5+α) (0,0,10)}
⇒ {(10,0,0) (0,10,0) (0,0,10)} = {(10,0,0) (-5+α, 5+α, -5+α) (0,0,10)}
−5+α=0
⇒ α=5
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Letand. If B isthe inverse of matrix A, then αisa)–2b)–1c)2d)5Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Letand. If B isthe inverse of matrix A, then αisa)–2b)–1c)2d)5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Letand. If B isthe inverse of matrix A, then αisa)–2b)–1c)2d)5Correct answer is option 'D'. Can you explain this answer?.
Letand. If B isthe inverse of matrix A, then αisa)–2b)–1c)2d)5Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Letand. If B isthe inverse of matrix A, then αisa)–2b)–1c)2d)5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Letand. If B isthe inverse of matrix A, then αisa)–2b)–1c)2d)5Correct answer is option 'D'. Can you explain this answer?.
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