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Consider a matrix A = 
. The matrix A satisfies the equation 6A-1= A2 + cA + dl, where c and d are scalars and 7 is the identity matrix. Then (c + d) is equal
  • a)
    5
  • b)
    17
  • c)
    -6
  • d)
    11
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Consider a matrix A =. The matrix A satisfies the equation 6A-1= A2 + ...
Given: 6A-1 = A2 + cA + dl
⇒ 6λ-1 = λ2 + cλ + d
Sub. λ = 1 ⇒ 6/1 = 1 + c + d
⇒ c + d = 5
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Consider a matrix A =. The matrix A satisfies the equation 6A-1= A2 + cA + dl, where c and d are scalars and 7 is the identity matrix. Then (c + d) is equala)5b)17c)-6d)11Correct answer is option 'A'. Can you explain this answer?
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