jaffer (dsj398) – HW7 – caputo – (56555)

jaffer (dsj398) – HW7 – caputo – (56555)
This print-out should have 5 questions.
Multiple-choice questions may continue on
the next column or page – find all choices
before answering.
Problem 1 is worth 0 points and it is not a
multiple choice problem. Problem 1 will be in
the next Quiz.

004

1
5.0 points

If A is a 4 × 3 matrix and T is the Matrix Transformation T : x → A x, then the
domain of T is R3 .
True or False?

001 0.0 points
This question will not be graded as part of
Homework 3. It will be one of the questions
on Quiz 3.

1. FALSE
2. TRUE

Let T : R2 → R2 be a linear transformation
such that
T (x) = x1 u + x2 v,

x=

x1
,
x2

where

005

If T : R2 → R2 is the linear transformation
such that
T

2
,
−3

u=

v=

−4
.
1

x1
x2

= x1

2
−3

−4
1

1. T (x) =

Every elementary row operation on a matrix is reversible.

2. T (x) =

−5
7

3. T (x) =

3
1
−4
6

5. T (x) =

5.0 points

−4
7

4. T (x) =

002

−5
6

True or False?
1. TRUE
2. FALSE
003

5.0 points

The columns of a matrix A are linearly
independent if the equation Ax = 0 has the
trivial solution.
True or False?
1. FALSE
2. TRUE

−2
−1
,
+ x2
1
2

determine T (x) when x =

Find the Standard Matrix A for T .
1. A =

10.0 points

3
.
1