Answer:
2+3n
Step-by-step explanation:
This question is based on a topic called sequence and series,under which we have the arithmetic progression
The formula for arithmetic progression is a+(n-1)d
In which a is the first number,n is the nth term and d is the difference
Back to the question
a=5,n=it's not given,d=3
Using the general formula
a+(n-1)d
5+(n-1)3
Open the bracket first
5+3n-3
Collect like terms
5-3+3n
2+3n
The answer is 2+3n
And it can be solved further only if we are given the value of n...the question even stated that we should solve in terms of n
Therefore the answer is 2+3n
Answer:
y = cos 2/3 x
Step-by-step explanation:
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
