Exam (elaborations)
MATRICES TRUE/FALSE QUESTIONS AND ANSWERS
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MATRICES TRUE/FALSE QUESTIONS AND ANSWERS
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MATRICES TRUE/FALSE QUESTIONS AND ANSWERSThe sum of the vector u − v and the vector
v is the vector v. - Answers -False
The points
(2, −1), (3, −2), (0, 1)
in the plane are collinear, i.e., lie on a straight
line. - Answers -True
An example of a linear combination of vectors
v1 and v2 is the vector −2v1. - Answers -True
The four points
(0, 0, 0), (4, −2, 2),
(−3, 1, −3), (−2, −3, −13),
in 3-space are co-planar, i.e., lie on a plane. - Answers -True
The product of the m × n matrix
A = [a1 a2 . . . an] and the vector
x=
x1
x2
xn
in R^n is the vector
x1a1 + x2a2 + . . . + xnan
in R^m - Answers -True
Any list of five real numbers is a vector in
R^5 - Answers -True
A consistent system of linear equations has
one or more solutions. - Answers -True
For every matrix equation Ax = b there
corresponds a vector equation having the
same solution set. - Answers -True
A basic variable in a linear system is a
variable that corresponds to a pivot column
in the coefficient matrix. - Answers -True
If a system of linear equations has no free
variables, then it has a unique solution. - Answers -False
The equation Ax = b is homogeneous if the
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