A hransfoomation is definad by Hhe axa matox A=-a b-a atb Ifois an odd imtreger, prove %3D ushere a amdb arescalars. an odd intreger, prove that A"=b-A

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 30E
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3 a. A hransfosmatian is defined by the axd matiox
A= -a b-a
19tb
ushere a ondb are scalars.
Hois an odd hmtreaer prove that A"=b^A
(b) f Ge)=
4x-236
C
t.
Gxti) Get 3 Gxti) Tuti) Gets) 2x+1)
find AIBIC
paint A has te co-ordinates (-3,2) and the
pant B has the cooidinates (G,k). The line AB has te
equation 3x+5y=|
3c. The
(D Show that k= 4
() Find the coardindes of the pt midpoint of AB
(1D Find the gradent of AB
Transcribed Image Text:3 a. A hransfosmatian is defined by the axd matiox A= -a b-a 19tb ushere a ondb are scalars. Hois an odd hmtreaer prove that A"=b^A (b) f Ge)= 4x-236 C t. Gxti) Get 3 Gxti) Tuti) Gets) 2x+1) find AIBIC paint A has te co-ordinates (-3,2) and the pant B has the cooidinates (G,k). The line AB has te equation 3x+5y=| 3c. The (D Show that k= 4 () Find the coardindes of the pt midpoint of AB (1D Find the gradent of AB
12 -1
2 K-4
Let A = 4
k -2
o o -1
B =|4
-1-
--2
k-8_
Ofrpress AB in Hhe Simplest form.
O s K stating he
Fend the inuerse of Å in terms
of
the
Condition under wich A-l
exisfs.
Gruen that X= and c= 46 KES, UR Hhe
, kes, Ha the
Imverre of A to Solue He
quatin Ax=C
26. Gruen Hat A and B ave postue,
equatun
Solue the Simultaneas
logga+ loggb= 2
a = 36
26. Plx)=x3+ x² + ax tbe lf pox)is diviced by Ga)
the remoinder is-7 and if PG) is diviced by O).
the remainder is 32. Find the value of a nd b
Transcribed Image Text:12 -1 2 K-4 Let A = 4 k -2 o o -1 B =|4 -1- --2 k-8_ Ofrpress AB in Hhe Simplest form. O s K stating he Fend the inuerse of Å in terms of the Condition under wich A-l exisfs. Gruen that X= and c= 46 KES, UR Hhe , kes, Ha the Imverre of A to Solue He quatin Ax=C 26. Gruen Hat A and B ave postue, equatun Solue the Simultaneas logga+ loggb= 2 a = 36 26. Plx)=x3+ x² + ax tbe lf pox)is diviced by Ga) the remoinder is-7 and if PG) is diviced by O). the remainder is 32. Find the value of a nd b
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