## Transcribed Text

The transformation T IR
IR'
satisfies
Choose one of the following
options and justify your answer
* T must be linear
* T could be linear
* T cannot be linear
2
Suppose A is a nxn
matrix satisfying AK = 0
for some k>l.
Find an inverse for (A-I)
4
Suppose Aisa 3x3 matux
such that
Ax,
for vectors x, X2,X, in RR
a
if X,IX, X3 are columns of
a (3x3) matrix X, / write
down the product AX
b
If the 3 solutions from part
(a) are
X, (}) X2 = i X3 =
Solve Ax= (})
c
Find A
S
Suppose A,B,C are matrices
that satisfy : A+ BBT = C
which of the following statements
must be true?
a
A is a square matix
b
A and B have the same
size
C
A B and C have the
same number of rows
d
B has move rows than
columns
8
Suppose T is a linear map
that maps the point (u,v,w) to
(utvtw,Utv,u)
Where does T'map the point
(XIY,z) ?

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