numericals methods and analysis, Schemes and Mind Maps of Mathematics

numerical methods and analysis

Typology: Schemes and Mind Maps

2023/2024

Uploaded on 12/14/2024

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Name: Sapitan, Christian James M. Sapitan
Student Number: 2022-102855
CYS: BS EE - 3B
LAB ACTIVITY 8 - BASIC MATRIX OPERATIONS
Use Excel’s MDETERM array function to see whether there is a solution to the simultaneous equations represented by each of the coefficient and right-hand-side matrices shown.
a. [Coeff1] 3 0 5 b. [Coeff2] 1 2 0 c. [Coeff3] 4 3 3
8 7 8 0 1 1 3 8 4
0 3 7 2 5 1 3 2 8
[rhs1] 3[rhs2] 4[rhs3] 7
8 3 3
2 3 2
Det(Coeff1) 195 Det(Coeff2) 0Det(Coeff3) 134
Yes No No
If the solution exists, solve the equations by using matrix methods.
If the solution does not exist, simply type N/A.
[Coeff1-inv] 0.128205 0.076923 -0.179487 [Coeff2-inv] N/A N/A N/A [Coeff3-inv] 0.41791 -0.134328 -0.089552
-0.287179 0.107692 0.082051 N/A N/A N/A -0.089552 0.171642 -0.052239
0.123077 -0.046154 0.107692 N/A N/A N/A -0.134328 0.007463 0.171642
[xa] 0.641026 [xb] N/A [xc] 2.343284
0.164103 N/A -0.216418
0.215385 N/A -0.574627
Is there a solution?
(Yes or No)
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Name: Sapitan, Christian James M. Sapitan Student Number: 2022- CYS: BS EE - 3B LAB ACTIVITY 8 - BASIC MATRIX OPERATIONS Use Excel’s MDETERM array function to see whether there is a solution to the simultaneous equations represented by each of the coefficient and right-hand-side matrices shown. a. [Coeff1] 3 0 5 b. [Coeff2] 1 2 0 c. [Coeff3] 4 3 3 8 7 8 0 1 1 3 8 4 0 3 7 2 5 1 3 2 8 [rhs1] 3 [rhs2] 4 [rhs3] 7 8 3 3 2 3 2 Det(Coeff1) 195 Det(Coeff2) 0 Det(Coeff3) 134 Yes No No If the solution exists, solve the equations by using matrix methods. If the solution does not exist, simply type N/A. [Coeff1-inv] 0.128205 0.076923 -0.179487 [Coeff2-inv] N/A N/A N/A [Coeff3-inv] 0.41791 -0.134328 -0. -0.287179 0.107692 0.082051 N/A N/A N/A -0.089552 0.171642 -0. 0.123077 -0.046154 0.107692 N/A N/A N/A -0.134328 0.007463 0. [xa] 0.641026 [xb] N/A [xc] 2. 0.164103 N/A -0. 0.215385 N/A -0. Is there a solution? (Yes or No)

Name: Sapitan, Christian James M. Sapitan Student Number: 2022- CYS: BS EE - 3B LAB ACTIVITY 9 - APPLICATION IN MULTILOOP CIRCUITS Find the currents i1 through i3 in the circuit using Matrices. Known Values E 12 V R R2 20 Ω R3 50 Ω [Coeff] 1 -1 -1 [rhs] 0 10 20 0 12 10 0 50 12 Determinant: 1700 [Coeff-inv] 0.5882352941176 0.0294117647059 0.0117647058824 [i] 0. -0.294117647059 0.0352941176471 -0.005882352941 0. -0.117647058824 -0.005882352941 0.0176470588235 0. Currents: i1 = 0.49 A, i2 = 0.35 A, i3 = 0.14 A.