LetAbeamatrix of the form A = [ α β 2 α 2 β ] where α and β are fixed scalars no both equal to 0. (a) Explain why the system A x = [ 3 1 ] must be inconsistent. (b) How can one choose a nonzero vector b so thatthe system A x = b will be consistent? Explain.
LetAbeamatrix of the form A = [ α β 2 α 2 β ] where α and β are fixed scalars no both equal to 0. (a) Explain why the system A x = [ 3 1 ] must be inconsistent. (b) How can one choose a nonzero vector b so thatthe system A x = b will be consistent? Explain.
Solution Summary: The author explains that the system Ax=(c3 1end
where
α
and
β
are fixed scalars no both equal to 0.
(a) Explain why the system
A
x
=
[
3
1
]
must be inconsistent.
(b) How can one choose a nonzero vector b so thatthe system
A
x
=
b
will be consistent? Explain.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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