. Determine whether the vectors (5, −2, 4), (2, −3, 5), and (4, 5−
2 answers:
Answer:
The vectors are linearly independent
Step-by-step explanation:
These vectors can be written in a matrix form as:
and if the matrix is invertible, the system has a unique solution, and hence, the vectors that form the matrix are linearly independent.
A matrix is invertible if it's determinant is different from zero.
Suppose A is a matrix, A is invertible if |A| ≠ 0
=
=
Since this is not zero, we conclude that the vectors are linearly independent.
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First we must mulitpy 4 and 1 1/3 to get 16/3. The equation will now look like:
Next divide 16/3 from h then from 10 2/3 to get :
The height is 2ft. Finally multiply 2 by the number of hay barrels (8) placed upon each other becuase we're finding the height and you will get your answer of 16 ft in height.
We already know 3 out of the 4 variables in the equations, in this case we are given the volume so we must work backwards.
The equation will look like this:
First we must mulitpy 4 and 1 1/3 to get 16/3. The equation will now look like:
Next divide 16/3 from h then from 10 2/3 to get :
The height is 2ft. Finally multiply 2 by the number of hay barrels (8) placed upon each other becuase we're finding the height and you will get your answer of 16 ft in height.