![,6,70$ 9( ø./ø0/(1'ø50( 6(.7g5h - aso.org.tr · ð ^ Z ] } o µ R µ } v ] Ç o ] o P º v P ] l Z u ] Z f v f Z u ] ] Ç f o f v f f v](https://static.fdocuments.net/doc/165x107/5dd1090fd6be591ccb63e7d6/670-9-0150-67g5h-asoorgtr-z-o-r-v-o.jpg)
o µ ] } v W z x I s F t F x · 2020. 3. 16. · ^ } o µ ] } v W A B y F t F u s r w z r s C U A B...
10
Solution: A = ቂ 7 −2 −3 10 5 8 0 1 ቃ , B = ቂ 8 −1 4 −2 ቃ , C = −6 3 0 4 9 −2 8 5 , D = ቈ 5 −3 2 0 8 6 1 −2 −6 a) A2 x 4, B2 x 2; number of columns of A (4) is not equal number of rows of B (2). Therefore, AB does not exist. b) A T = 7 −3 −2 10 5 0 8 1 , A T B = 7 −3 −2 10 5 0 8 1 ቂ 8 −1 4 −2 ቃ= ⎣ ⎢ ⎢ ⎡ 7 ∗ 8 + (−3) ∗ (4) 7 ∗ (−1) + (−3) ∗ (−2) −2 ∗ 8 + 10 ∗ 4 −2 ∗ (−1) + 10 ∗ (−2) 5∗8+0∗4 5 ∗ (−1) + 0 ∗ (−2) 8∗8+1∗4 8 ∗ (−1) + 1 ∗ (−2) ⎦ ⎥ ⎥ ⎤ = 44 −1 24 −18 40 −5 68 −10 . c) AC= ቂ 7 −2 −3 10 5 8 0 1 ቃ −6 3 0 4 9 −2 8 5 = 7 ∗ (−6) + (−2) ∗ 0 + 5 ∗ 9 + 8 ∗ 8 7 ∗ 3 + (−2) ∗ 4 + 5 ∗ (−2) + 8 ∗ 5 (−3) ∗ (−6) + 10 ∗ 0 + 0 ∗ 9 + 1 ∗ 8 (−3) ∗ (3) + 10 ∗ 4 + 0 ∗ (−2) + 1 ∗ 5 ൨= =ቂ 67 43 26 36 ቃ d) 2B +3I2 = 2 ቂ 8 −1 4 −2 ቃ+3 ቂ 1 0 0 1 ቃ= 2∗8+3∗1 2 ∗ (−1) + 0 2∗4+3∗0 2 ∗ (−2) + 3 ∗ 1 ൨ = ቂ 19 −2 8 −1 ቃ e) det ቈ 5 −3 2 0 8 6 1 −2 −6 = ቈ 5 −3 2 0 8 6 1 −2 −6 5 −3 2 0 1 −2 = 5*0*(-6)+(-3)*6*1+8*2*(-2) – 8*0*1- 5*6*(-2)–(-3)*2*(-6) = -26. f) detቂ 8 −1 4 −2 ቃ = 8 ∗ (−2) − (−1) ∗ 4 = −12. B -1 = 1/(-12) ቂ −2 1 −4 8 ቃ = 1/6 −1/12 1/3 −2/3 ൨ .
Transcript of o µ ] } v W z x I s F t F x · 2020. 3. 16. · ^ } o µ ] } v W A B y F t F u s r w z r s C U A B...
-
Solution:
A = 7 −2 −3 10
5 80 1
, B = 8 −1 4 −2
, C =
−6 30 49 −28 5
, D = 5 −32 0
86
1 −2 −6
a) A2 x 4, B2 x 2; number of columns of A (4) is not equal number of rows of B (2). Therefore, AB does not exist.
b) AT =
7 −3−2 105 08 1
, ATB =
7 −3−2 105 08 1
8 −1 4 −2
=
⎣⎢⎢⎡7 ∗ 8 + (−3) ∗ (4) 7 ∗ (−1) + (−3) ∗ (−2)
−2 ∗ 8 + 10 ∗ 4 −2 ∗ (−1) + 10 ∗ (−2)
5 ∗ 8 + 0 ∗ 4 5 ∗ (−1) + 0 ∗ (−2)
8 ∗ 8 + 1 ∗ 4 8 ∗ (−1) + 1 ∗ (−2) ⎦⎥⎥⎤
=
44 −124 −1840 −568 −10
.
c) AC= 7 −2 −3 10
5 80 1
−6 30 49 −28 5
=
7 ∗ (−6) + (−2) ∗ 0 + 5 ∗ 9 + 8 ∗ 8 7 ∗ 3 + (−2) ∗ 4 + 5 ∗ (−2) + 8 ∗ 5
(−3) ∗ (−6) + 10 ∗ 0 + 0 ∗ 9 + 1 ∗ 8 (−3) ∗ (3) + 10 ∗ 4 + 0 ∗ (−2) + 1 ∗ 5 =
=67 43 26 36
d) 2B +3I2 = 2 8 −1 4 −2
+3 1 0 0 1
= 2 ∗ 8 + 3 ∗ 1 2 ∗ (−1) + 0 2 ∗ 4 + 3 ∗ 0 2 ∗ (−2) + 3 ∗ 1
= 19 −2 8 −1
e) det 5 −32 0
86
1 −2 −6=
5 −32 0
86
1 −2 −6
5 −32 01 −2
= 5*0*(-6)+(-3)*6*1+8*2*(-2) – 8*0*1- 5*6*(-2)–(-3)*2*(-6) = -26.
f) det 8 −1 4 −2
= 8 ∗ (−2) − (−1) ∗ 4 = −12.
B-1 = 1/(-12) −2 1 −4 8
= 1/6 −1/12 1/3 −2/3
.
![b y i e Z a f u k j Z a e b q g u f b f Z l j b Z e Z f bphyselec.phys.msu.ru/files/courseworks2020/Андреев_Курсовая.pdf · H ] e Z \ e _ g b _ < \ _ ^ _ g b _ D Z](https://static.fdocuments.net/doc/165x107/5f0d0bb27e708231d43868a2/b-y-i-e-z-a-f-u-k-j-z-a-e-b-q-g-u-f-b-f-z-l-j-b-z-e-z-f-fpdf.jpg)
![2017 - Edl · R"-*&-"01$%&>(,,&/$&%$81+;8(/,$&:+%&>$"%(;F& v Zo r Z] v Z} U o v Zo Z} Xt Á]oo }À] U µ $"-*&-"01$%&(8&$;-+6%"F$@&#+&/%(;F&#*$(%&+>;&](https://static.fdocuments.net/doc/165x107/5f60eaad8ff1544e9e38dcbf/2017-edl-r-01818f.jpg)
![j h ] j Z f f Z - uCozliraddt.ucoz.ru/December_2018/volshebnyj_kvilling.pdf · 5 1726-р. : ^ j _ k Z l j h ] j Z f f u. Программа в основном ориентирована](https://static.fdocuments.net/doc/165x107/5f41a07b6ed73952cb7f02c4/j-h-j-z-f-f-z-5-1726-j-k-z-l-j-h-j-z-f-f-u-.jpg)
![Z ` Z f u c i h d m i Z l e v! · 1 M \ Z ` Z _ f u c i h d m i Z l _ e v! ; e Z ] h ^ Z , q Z e b g Z r _ f m ^ h g Z ] j _ \ Z l _ e x. < u i j b h [ j _ e b ] Z a h \ u i j h l](https://static.fdocuments.net/doc/165x107/5f63d93af0f2766ebe2c52e5/z-z-f-u-c-i-h-d-m-i-z-l-e-v-1-m-z-z-f-u-c-i-h-d-m-i-z-l-e-v-e-z-.jpg)
![K h ^ j ` Z g b j h ] j Z f f ukinelschool9.ru/files/noo9.pdf · 2 K h ^ _ j ` Z g b _ j h ] j Z f f u № G Z b f _ g h \ Z g b _ j Z a ^ _ e Z k l j Z g b p u I P _ e _ \ h c j](https://static.fdocuments.net/doc/165x107/5f921bdb753d694b0d775503/k-h-j-z-g-b-j-h-j-z-f-f-2-k-h-j-z-g-b-j-h-j-z-f-f-u-a-g-z-b-f.jpg)
![= D - - K · H [ h a g Z q _ g b _ G Z b f _ g h \ Z g b _ I j b f _ q Z g b _ < _ ^ h f h k l v k k u e h q g u o b i j b e Z ] Z _ f u o ^ h d m f _ g l h \](https://static.fdocuments.net/doc/165x107/603690629ffbb42b905c497c/-d-k-h-h-a-g-z-q-g-b-g-z-b-f-g-h-z-g-b-i-j-b-f-q-z-g-b-.jpg)
![< u i m k d g b d b d Z n ^ j u f Z l f Z l b q k d h ] h ...](https://static.fdocuments.net/doc/165x107/61bed4744e66e34ec27d59fd/lt-u-i-m-k-d-g-b-d-b-d-z-n-j-u-f-z-l-f-z-l-b-q-k-d-h-h-.jpg)
![Правила и меры безопасности · 2 M \ Z ` Z _ f u h d m i Z l _ e v! F u e Z ] h ^ Z j b f [ _ o g b «DDE». j _ ` ^, f g Z q Z l k i h e v a h \ Z l h l h](https://static.fdocuments.net/doc/165x107/5f5e064ea6b74d029e51a363/-2-m-z-z-f-u-h-d-m-i-z.jpg)
![f » Ê¸Ë Ê¿Z dy ºf Ì f »Ê¸Ë Ê¿Z dy ... · f » Ê¸Ë Ê¿Z dy ºf Ì ~ } u u } v Z ] o& µ o/ v i ] } v Ddh ~ } u u } v Z ] o & µ o / v i ] } v dyÂ/ ¥ » Á](https://static.fdocuments.net/doc/165x107/5f88b87f18375264793a727f/-f-z-dy-f-oe-f-z-dy-f-z.jpg)
![z u ] f ¹ z G f ÷](https://static.fdocuments.net/doc/165x107/61735d3f5c733502af049982/z-u-f-z-g-f-.jpg)
