Answer:
0.5cm^3
Step-by-step explanation:
volume of rectangular prism= length x width x height
1/4cm x 1/2cm x 4cm =
0.25cm x 0.5cm x 4cm =
0.5cm^3
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
Answer:
Step-by-step explanation:
Number of cows increased=60
Old quality of milk consumed=12.8litres
New Increase in milk consumed=15litres
Therefore the number of cows in the farm if the quality of milk is 1340litres=y
Therefore, 1cow =15litres
y cows= 1340litres
Crossmultiply:
15litres×ycows=1340litres
Make y the subject of formula
y= 1340÷15
y=89.33cows
Therefore,the number of cows on the farm if farmer gets 1340litres of milk would be 89cows.
We are asked in the problem to deterimne the point slope form that is y - y1 = m(x-x1),. Substituting, m = 3 and x1 = 2
Translating,
y + a = 3*(x-2).
Ahnswer to this problem then is C.
