steve herr is an architect in minneapolis, minnesota. his latest project is designing a park. on the blueprint, the park is dete
rmined by a plane which contains the points at (1,0,3).(2,5,0), and (3,1,4). one of the features of the park is a monument that must be perpendicular to the ground. find the nonzero vector, representing the monument, perpendicular to the plane defined by the given points.
1 answer:
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Answer:
The augmented matrix for each set of linear equations is:
a)
Augmented matrix:
b)
Augmented matrix:
c)
Augmented matrix:
d)
Augmented matrix:
Step-by-step explanation:
In order to find the augmented matrix, you have to take the numeric values of each variable and make a matrix with them. For example, in the linear system a) you can make a matrix out of the numeric values accompanying x_1 and x_2, this matrix will be:
Then you have to make a vector with the constants in the linear equations, for the case of system a) the vector will be:
To construct the augmented matrix, you append those matrices together and create a new one: