Answer:
Sale price of the case of soda $
9.60
Step-by-step explanation:
Sale price =
$
12
−
$
2.40
=
$
9.60
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
#1
The ALTITUDE is
a line segment that connects a vertex of a triangle to a point on the
line containing the opposite side, so that the line segment is perpendicular to that line.
#2
The MEDIAN a line segment that connects a vertex of a triangle to the midpoint of the opposite side
Please give thanks and brainliest if correct!
Answer:
k = 4
Step-by-step explanation:
Given that a varies directly as b then the equation relating them is
a = kb ← k is the constant of variation
To find k use the condition a = 8 when b = 2
k = = = 4