Answer:
Step-by-step explanation:
m = 5 ; (3, -4)
y - y₁ = m (x - x₁)
y - [-4] = 5 (x - 3)
y + 4 = 5x - 15
y = 5x - 15 - 4
y = 5x - 19
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:
Let the distance travelled by bus be x and the distance travelled be bike be (x+75)
Finally
x + (x+75) = 325
2x = 250
x= 125
The answer to this question is:
y = -2x - 1
Answer:
b and d
Step-by-step explanation:
they both have b
