The mean is affected by an outlier...lets find out how...
example : (2,3,4,5,30)
the outlier is 30
the mean is :(2 + 3 + 4 + 5 + 30) / 5 = 44/5 = 8.8
now lets take out the outlier of 30...and find the mean
(2 + 3 + 4 + 5) / 4 = 14/4 = 3.5
therefore, a single outlier can cause the value of the mean to move slightly towards the outlier
It’s honestly really confusing I would skip it cuz imma sophomore and ion know
Answer:
a) -4
b) 1
c) 1
Step-by-step explanation:
a) The matrix A is given by:
to find the eigenvalues of the matrix you use the following:
where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:
and by taking the determinant:
and the roots of this polynomial is:
hence, the real eigenvalue of the matrix A is -4.
b) The multiplicity of the eigenvalue is 1.
c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)
Notice that in the first table, every time we increase x by 1, y consistently decreases by 2. This characterizes a linear function.