4.Let T-RR' bethe lineor trons.form such thatT (xiyiz)=(yt7, X+y, X+Z),By consideringmatrix representating T with re specttobasisyoulike, answerthe following questionssany* T isinver tible linear transformatione Yor N?3.Foreveryb ER, the equation T(P)=b is solvableY orN ?vector solution.* Theequation TR)= hasnonzeroY orN?for As ģ : 7. let S:RR be theby s? ) = A?Now4lincartrous formation definedthethe composition So T-R R and auswerfollowing pue.ConsiderS.T is cînver tible line ar trans formation, Y or NSanA for everyBER the eguation S. T(?)=B is solvablethe only Solution of the equation.S. TQ)= 8vectorisN?or

Note: Multiple questions are given, we are answered with first question only. If you need more…

Let T=R°_yR' be the lineor transform such that T Cxigiz)= (y+2っメyっメ+2)。 By considuing matrix representating T with respect to any like, answer the following questionss basis you * T is linear transformation. Y or N? iAver tible A For DER, the equation 3. TCPI=B is solvable evry vector salution. nonzeso The equation TR) = has Y or N? 40 SERR be the

Let T=R°_yR' be the lineor transform such that T Cxigiz)= (y+2っメyっメ+2)。 By considuing matrix representating T with respect to any like, answer the following questionss basis you * T is linear transformation. Y or N? iAver tible A For DER, the equation 3. TCPI=B is solvable evry vector salution. nonzeso The equation TR) = has Y or N? 40 SERR be the

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

4.
Let T-RR' be
the lineor trons.form such that
T (xiyiz)=(yt7, X+y, X+Z),
By considering
matrix representating T with re spect
to
basis
you
like, answer
the following questionss
any
* T is
inver tible linear transformatione Yor N?
3.
For
every
b ER, the equation T(P)=b is solvable
Y or
N ?
vector solution.
* The
equation TR)= has
nonzero
Y or
N?
for As ģ : 7. let S:RR be the
by s? ) = A?
Now
4
lincar
trous formation defined
the
the composition So T-R R and auswer
following pue.
Consider
S.T is c
înver tible line ar trans formation, Y or NS
an
A for every
BER the eguation S. T(?)=B is solvable
the only Solution of the equation.
S. TQ)= 8
vector
is
N?
or

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