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Let V be the set of 2 × 2 matrices with complex entries such that a11 + a22 = 0. Let W be the set of matrices in V with . Then, under usual matrix addition and scalar multiplication, which of the following is (are) true?
  • a)
    V is a vector space over C
  • b)
    W is a vector space over C
  • c)
    V is a vector space over R
  • d)
    W is a vector space over R
Correct answer is option 'A,C,D'. Can you explain this answer?
Most Upvoted Answer
Let V be the set of 2 2 matrices with complex entries such that a11 ...
The answers are correct because of they are all usual matrices
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Let V be the set of 2 2 matrices with complex entries such that a11 ...
No
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Let V be the set of 2 2 matrices with complex entries such that a11 + a22 = 0. Let W be the set of matrices in V with . Then, under usual matrix addition and scalar multiplication, which of the following is (are) true?a)V is a vector space over Cb)W is a vector space over Cc)V is a vector space over Rd)W is a vector space over RCorrect answer is option 'A,C,D'. Can you explain this answer?
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Let V be the set of 2 2 matrices with complex entries such that a11 + a22 = 0. Let W be the set of matrices in V with . Then, under usual matrix addition and scalar multiplication, which of the following is (are) true?a)V is a vector space over Cb)W is a vector space over Cc)V is a vector space over Rd)W is a vector space over RCorrect answer is option 'A,C,D'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Let V be the set of 2 2 matrices with complex entries such that a11 + a22 = 0. Let W be the set of matrices in V with . Then, under usual matrix addition and scalar multiplication, which of the following is (are) true?a)V is a vector space over Cb)W is a vector space over Cc)V is a vector space over Rd)W is a vector space over RCorrect answer is option 'A,C,D'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let V be the set of 2 2 matrices with complex entries such that a11 + a22 = 0. Let W be the set of matrices in V with . Then, under usual matrix addition and scalar multiplication, which of the following is (are) true?a)V is a vector space over Cb)W is a vector space over Cc)V is a vector space over Rd)W is a vector space over RCorrect answer is option 'A,C,D'. Can you explain this answer?.
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