Algebra Lineal Determinante Principal Formula General.docx
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𝑥1 + 2𝑥2 + 4𝑥3 + 4𝑥4 = 530 𝑥1 𝑥1 +
+ 4𝑥3 + 2𝑥4 = 270 𝑥2 + 6𝑥3 + 4𝑥4 = 370
2𝑥1 + 2𝑥2 + 8𝑥3 + 4𝑥4 = 660 1 1 ( 1 2
2 0 1 2
4 4 6 8
4 2 ) 2 4
1 4 2 −2 (1 6 2) 2 8 4 6 2 4 2 4 2 −2 [1 ( ) − 1( ) + 2( )] 8 4 8 4 6 2 −2[1(24 − 16) − 1(16 − 16) + 2(8 − 12)] −2[1(8) − 1(0) + 2(−4)] −2[8 − 0 − 8] −2[0] = 0 1 4 4 −1 (1 4 2) 2 8 4 4 4 4 2 4 4 −1 [1 ( ) − 1( ) + 2( )] 8 4 8 4 4 2 −1[1(16 − 16) − 1(16 − 32) + 2(8 − 16)] −1[1(0) − 1(−16) + 2(−8)] −1[0 + 16 − 16] −1[0] = 0 1 4 4 2 (1 4 2) 1 6 2 4 4 4 2 4 4 2 [1 ( ) − 1( ) + 1( )] 6 2 6 2 4 2 2[1(8 − 12) − 1(8 − 24) + 1(8 − 16)] 2[1(−4) − 1(−16) + 1(−8)] 2[−4 + 16 − 8] 2⌊4⌋ = 8 𝐷𝑝 = 0 + 0 + 8 𝐷𝑝 = 8
+ 4𝑥3 + 2𝑥4 = 270 𝑥2 + 6𝑥3 + 4𝑥4 = 370
2𝑥1 + 2𝑥2 + 8𝑥3 + 4𝑥4 = 660 1 1 ( 1 2
2 0 1 2
4 4 6 8
4 2 ) 2 4
1 4 2 −2 (1 6 2) 2 8 4 6 2 4 2 4 2 −2 [1 ( ) − 1( ) + 2( )] 8 4 8 4 6 2 −2[1(24 − 16) − 1(16 − 16) + 2(8 − 12)] −2[1(8) − 1(0) + 2(−4)] −2[8 − 0 − 8] −2[0] = 0 1 4 4 −1 (1 4 2) 2 8 4 4 4 4 2 4 4 −1 [1 ( ) − 1( ) + 2( )] 8 4 8 4 4 2 −1[1(16 − 16) − 1(16 − 32) + 2(8 − 16)] −1[1(0) − 1(−16) + 2(−8)] −1[0 + 16 − 16] −1[0] = 0 1 4 4 2 (1 4 2) 1 6 2 4 4 4 2 4 4 2 [1 ( ) − 1( ) + 1( )] 6 2 6 2 4 2 2[1(8 − 12) − 1(8 − 24) + 1(8 − 16)] 2[1(−4) − 1(−16) + 1(−8)] 2[−4 + 16 − 8] 2⌊4⌋ = 8 𝐷𝑝 = 0 + 0 + 8 𝐷𝑝 = 8
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