Chapter 4, Section 4.1, Question 09 Your answer is incorrect. Try again. Your an

Question

Chapter 4, Section 4.1, Question 09 Your answer is incorrect. Try again. Your ans Determine whether the set equipped with the given operations is a vector space For those that are not vector spaces identify the vector space axioms that fail The set of all 2 x 2 matrices of the form 7 b with the standard matrix addition and scalar multiplication. O v is not a vector space, and Axioms 6-9 fail to hold. O v is not a vector space, and Axioms 1, 5, 6 fail to hold. O Vis a vector space. Ovis not a vector space, and Axioms 1, 2, 3 fail to hold. O vis not a vector space, and Axioms 1, 4, 5, 6 fail to hold.

Explanation / Answer

v is not a vector space and axioms given below do not hold

A real vector space is a set X with a special element 0, and three operations:

These operations must satisfy the following axioms:

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