Ma 242 Exam 1 Linear Algebra Worksheet Page 11
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
117. (32 points) Circle either TRUE or FALSE. No justification is needed.
Correct answers score 4 points each. Incorrect answers score 0
points. Leaving a question blank scores 2 points.
(a) Every matrix is row equivalent to a unique matrix in echelon form.
TRUE
FALSE
(b) It is possible for the equation Ax = b to have no solutions while
at the same time for the equation Ax = 0 to have infinitely many
solutions.
TRUE
FALSE
(c) If the columns of a 5 by 4 matrix are linear independent then the
5
columns span R
.
TRUE
FALSE
(d) If n < m and T : R
R
is a linear transformation, then T is
one-to-one.
TRUE
FALSE
(e) If b is in the span of the columns of A, then the matrix equation
Ax = b has at least one solution.
TRUE
FALSE
(f) If A is matrix with a pivot point in every row and B is a matrix with
a pivot point in every row, then the product AB will have a pivot
point in every row.
TRUE
FALSE
(g) If A contains a row of all zeroes, then the equation Ax = 0 has no
solutions.
TRUE
FALSE
(h) A homogenous system of three equations with seven unknowns will
always have infinitely many solutions.
TRUE
FALSE
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education