Answer:
Step-by-step explanation:
<u>Given expressions:</u>
- 8 = x - 2 ⇒ x = 8 + 2= 10
- 3 = x ÷ 4 ⇒ x = 3*4 = 12
- x - 6 = 5 ⇒ x = 5 + 6 = 11
- x - 3 = 9 ⇒ x = 9 + 3 = 12
3 of them involves addition, one of them - multiplication
The second expression doesn't belong
9 - (a - 7)
Note that - = -1
First, distribute - 1 to all terms within the parenthesis
-1(a - 7) = -a + 7
9 - a + 7
Combine like terms
9 + 7 = 16
-a + 16, or A. 16 - a is your answer
hope this helps
Answer:
C
Step-by-step explanation:
You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!
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
