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    Mathematics
  3. Study Set
    Calculus A Complete Course
  4. Exam
    Exam 18: Differential Forms and Exterior Calculus
  5. Question
    Let K and N Be Integers Such That 1
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Let K and N Be Integers Such That 1

Question 8

Question 8

Multiple Choice

Let k and n be integers such that 1 Let k and n be integers such that 1   k   n. Find the dimension of the vector space of all k-forms on   . A)    B)  n C)  k D)  n - k E)  n(n - 1) (n - 2) .....(n - k +1) k 11ee7973_99f4_ef7a_88d3_478f26d4adc3_TB9661_11 n. Find the dimension of the vector space of all k-forms on 11ee77e1_778d_c258_a0f8_ebae20fedc9b_TB9661_11 .


A) 11ee77e1_778d_c259_a0f8_f75bdc77086b_TB9661_11
B) n
C) k
D) n - k
E) n(n - 1) (n - 2) .....(n - k +1)

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