Answer:
4x + 10, 4x +10, 4x + 20, last 3 are not equivalent
2x + 15y
8x + y + 5
i don't know number 3
5(3d)
Answer:
-13 yards
Step-by-step explanation:
Estimating that we start off on the middle line, we could solve this by simply looking at a number line. Moving 9 yards ahead would put us at 9. But moving back 22 would place us at a negative number. An easy way of doing this is subtracting 9 from 22:
22 - 9 = 13
But, we already know that since the answer is to the left of zero, it will be a negative number. So we flip the sign to get -13 yards.
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
There's no equation to solve, until you tell us
what that expression is equal to.
