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Let V, W and X be three finite dimensional vector spaces such that dim V = dim X, Suppose S : V --> W and T : W ---> X are two linear maps such ToS : V --> X is injective.Then,
  • a)
    S and T are surjective
  • b)
    S is surjective and T is injective
  • c)
    S and T are injective
  • d)
    S is injective and T is surjective
Correct answer is option 'D'. Can you explain this answer?
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Let V, W and X be three finite dimensional vector spaces such that dim...
Let V, W and X be three finite dimensional vector spaces such that dim V = dim X. Suppose S : V --> W and T : W --> X are two linear maps such ToS : V --> X is injective.Then S is injective and T is surjective.
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Most Upvoted Answer
Let V, W and X be three finite dimensional vector spaces such that dim...
W is a linear transformation. Then we can conclude that S is injective if and only if S is surjective.
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Let V, W and X be three finite dimensional vector spaces such that dim V = dim X, Suppose S : V --> W and T : W ---> X are two linear maps such ToS : V --> X is injective.Then,a)S and T are surjectiveb)S is surjective and T is injectivec)S and T are injectived)S is injective and T is surjectiveCorrect answer is option 'D'. Can you explain this answer?
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Let V, W and X be three finite dimensional vector spaces such that dim V = dim X, Suppose S : V --> W and T : W ---> X are two linear maps such ToS : V --> X is injective.Then,a)S and T are surjectiveb)S is surjective and T is injectivec)S and T are injectived)S is injective and T is surjectiveCorrect answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let V, W and X be three finite dimensional vector spaces such that dim V = dim X, Suppose S : V --> W and T : W ---> X are two linear maps such ToS : V --> X is injective.Then,a)S and T are surjectiveb)S is surjective and T is injectivec)S and T are injectived)S is injective and T is surjectiveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let V, W and X be three finite dimensional vector spaces such that dim V = dim X, Suppose S : V --> W and T : W ---> X are two linear maps such ToS : V --> X is injective.Then,a)S and T are surjectiveb)S is surjective and T is injectivec)S and T are injectived)S is injective and T is surjectiveCorrect answer is option 'D'. Can you explain this answer?.
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