30 cg www m 4요. 2 ||- HAT gall Is = I Loop 노동가요 Egn Egn. 2 Coop B: 23: E87.3: +I 2 13 ww 20₁ 2 I₂ 20 Ia B In It → 4 I₁ + 6 + 3I₁ = + 71₁ +6 = w q I. I 2 [I, 2) +ㅋI, th=0 a I, +2I2 ㅗFI +6=0 91₁ +21₂ +6 =0 I, = I, + I2 = 402 2 Is to I2 +2 + Y 20 2 I3 + 10 I2 +12-0 2(5+2) +103 +12=0 FT +25 HOI2 +12 20 + 12: I. + 6I2 +6 =0 160 흔, 높은 B - 13 8I, -4I2 +0=0 뙆유 ㅠㅠㅠ 2 I-2-0 I=I2 I. + G (2I,) +6=0 I, t 12 5 +6 20 13 I₁ +6=0 I b +2I2 +66 + b It 6 디스 " 자동)=I2 -1₂2 I₂' 13

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I am looking for some help with a Linear Algebra matrix problem involving circuit analysis for Loops A and B as shown in the figure (ignoring the outer loop).

Eventually I am to use an augmented matrix when when reduced yields the three currents, but I applied Kirchoff's Law and my work as attached seems to be incorrect and I'm not sure why.

If I get could get help in understanding how to clearly approach this problem that would be great.  Thank you.

30
to
www
m
4요.
5
||-
HAT
gall Is = I
Loop
농.3
Egn
Egn. 2
Loop B:
23:
E87.3:
+I
2 13
ww
20.
2 I₂
20
B
Ia
In
It
w
+ q I + 6 + 3 I=0
+ 71₁ +6=0
402
q I.
I
160
2 [I, Iz) +7I, th co
QI, +2I2 ㅗFI +6=0
91₁ +21₂ +6=0
B
2 Is to I2 +2 + Y 20
2 I3 + 10 I2 +12-0
2(5+2) +103 +12=0
FT +25 HOI2 +12 20
+ 12:
I. + 6I2 +6 =0
흔, 높은
In = I, + I2 = 봄
-
13
- 2I2 +66
+ b It 6
8I, -4I2 +0=0
ㅠㅠㅠ
2 I-2-0
I=I2
I. + G (2I,) +6=0
I, t 12 5 +6 20
13 I₁ +6=0
I b
-묶
자동)=I2
-12
I₂'
13
Transcribed Image Text:30 to www m 4요. 5 ||- HAT gall Is = I Loop 농.3 Egn Egn. 2 Loop B: 23: E87.3: +I 2 13 ww 20. 2 I₂ 20 B Ia In It w + q I + 6 + 3 I=0 + 71₁ +6=0 402 q I. I 160 2 [I, Iz) +7I, th co QI, +2I2 ㅗFI +6=0 91₁ +21₂ +6=0 B 2 Is to I2 +2 + Y 20 2 I3 + 10 I2 +12-0 2(5+2) +103 +12=0 FT +25 HOI2 +12 20 + 12: I. + 6I2 +6 =0 흔, 높은 In = I, + I2 = 봄 - 13 - 2I2 +66 + b It 6 8I, -4I2 +0=0 ㅠㅠㅠ 2 I-2-0 I=I2 I. + G (2I,) +6=0 I, t 12 5 +6 20 13 I₁ +6=0 I b -묶 자동)=I2 -12 I₂' 13
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