You have $60.00.
Each CD (x) is $11.00.
11x ≤ 60
The number of CDs multiplied by the cost (11) has to be less than or equal to 60.
x ≤ 5.45
You can only buy 5 CDs.
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
28:35
Those are divisible by 7 so divide both sides by seven
the answer is 4:5
Step-by-step explanation:
2x + 7 = 27 OR 3 + 3x = 30.
2x = 27 - 7 OR 3x = 30 - 3
2x = 20 OR 3x = 27
x = 20/2 OR x = 27/3
x = 10 OR x = 9
If she can only work 15 hours a week and earns $7 per hour, just multiply 7 by 15 and you'll have your answer :)
