<span>There is a close relationship between the solutions to a linear system and the solutions to the corresponding homogeneous system:
Ax=b and Ax+0
Specifically, if x1 is any specific solution to the linear system Ax = b, then the entire solution set can be described as
x1 + x0 : x0 is any solution to Ax=0
Geometrically, this says that the solution set for Ax = b is a translation of the solution set for Ax = 0. Specifically, the flat for the first system can be obtained by translating the linear subspace for the homogeneous system by the vector x1.
This reasoning only applies if the system Ax = b has at least one solution. This occurs if and only if the vector b lies in the image of the linear transformation A.</span>
Answer:
5 is 131, 4 is 49, 3 is 115, 2 is 85, 1 is 78
Answer:
D. 141 kg
Step-by-step explanation:
Lucas 1.78 m
Olivia = Lucas / 2 = 1.78 / 2 = 0.89 m
Ava = Olivia + 0.23 = 0.89+0.23 = 1.12m
The absolute value is always positive:
For example, the absolute value of -5: | - 5 | = 5 and also the absolute value of 5 : | 5 | = 5
P = - 1 1/4
The absolute value of point P.
| P | = | - 1 1/4 | = 1 1/4