58. Let V be the vector space of mxn matrices over the field F. Then dim V =
(A) mn
(B) m+n
(C) mn
(D) m/n
Answers
Answer:
m/n yahi hoga d no. 58. no ka
Answer:
The dimentions of V is mn.
therefore, the answer is option (a).
Step-by-step explanation:
A collection of vectors that have been added collectively and multiplied ("scaled") by numbers known as scalars is referred to as a vector space or a linear space. Ordinarily, scalars are regarded as real numbers. However, there aren't many instances of scalar multiplication with vector spaces using rational numbers, complex numbers, etc. The scalar multiplication and vector addition operations must adhere to a set of axioms. Scalars are defined as real or complex numbers using the phrases real vector space and complex vector space.
Combined with the associative and commutative law of vector addition and the associative and distributive process of vector multiplication by scalars, a space made up of vectors is known as a vector space.
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