Answer:
The score in third quiz must be lie between 84 to 99 inclusive.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Need to account for getting to and from the trail as well
Question: If the subspace of all solutions of
Ax = 0
has a basis consisting of vectors and if A is a matrix, what is the rank of A.
Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.
Assume: The number of vectors is 3, and the dimension is 5 × 8.
Answer:
The rank of the matrix A is 5.
Step-by-step explanation:
In the standard basis of the linear transformation:
f : R^8 → R^5, x↦Ax
the matrix A is a representation.
and the dimension of kernel of A, written as dim(kerA) is 3.
By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.
That is:
rank(A) = dim(R^8) - dim(kerA)
= 8 - 3
= 5
According to Wikipedia: "<span>In mathematics, a function
is a relation between a set of inputs and a set of permissible outputs
with the property that each input is related to exactly one output."
So based of this we need to look for a set where one of the x values or the y values is the same, and the other number is different.
Answer:
B.
(1,4) and (1,1) both have the same x, but different y!
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