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Math 160 notes for units 3, Cheat Sheet of Mathematics

Unit 3 notes review for math 160

Typology: Cheat Sheet

2023/2024

Uploaded on 05/16/2024

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When D = 0, this indicates that the system is either inconsistent or contains dependent equations. 1. IfD =0 and at least one of the determinant in the numerator is not 0, then the system is inconsistent. The solution is 9. 2. IfD =0 and all the determinants in the numerator are 0, then the system is dependent. The system has infinitely many solutions. 3. Use Cramer’s Rule to solve: x+4y—2z=-6 x+2y-z=-4 fest 2m re 1 & =) U:@ a 4 +\ ly aa 1 -@-3l-G@)-(-6)-t=+ §& - > \ 13 Pe. \ “Ae eae \: -b 2] + 4 = 6-12 11O- (1 ~-24-(-10) = —-16 GB PP oes Dyfa 74-1 = U 1 —e 2) ' -p = -bth-3-12~-/-b)--4) = S oe CaS Dr. VB, HF eee PA YP 4 = it ry —Y- V2 3 ae MH -It 32) - (12) -% = 20 Scanned with CamScanner