Use matrices to solve each of the following systems of equations. (a) 2x1 + 5x2 + 3x3 = 0 xi + x2 – x3 = 0 - 3x1 + 6x2 + 3 x1 + 4x2 + 4x3 = 0 (b) x1 + 2x2 + 0x3+ x4 + 3x5 = 4 3x1 – x2 + 4x3 + x4 + 2x5 = 3 - 4x1 + x2 + 4x3 +2x4 + 5x5 : (c) -x1 – x2 – 2x3+ 2x4 = 4 xi + x2 + 2x3 – x4 = -2 xi + x2 + 2x3 + 0x4 = 0 2а1 + 272 + 4хз — 24 — — 2 |

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 33E
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can someone please do these problems and show all the steps? can you also double check your answers to make sure there are no signs/math miscalculations pleaseeee thank you

Use matrices to solve each of the following systems of equations.
(а)
2я1 + 5ӕ2 + 3хз — 0
x1 + x2
- x3 = 0
3x1 + 6x2 + x3
0 =
x1 + 4x2 + 4x3 = 0
(Ъ)
1 + 2х2 + Охз + х4 + Захъ
4
3x1 – x2 + 4x3 + x4 + 2x5 = 3
4.x1 + x2 + 4x3 + 2x4 + 5x5 = 0
(с)
— X1 — Х2
23 + 2х4
4
Х1 + х2 + 2^3 — х4 — —2
xi + x2 + 2x3 + 0x4
= 0
2л1 + 2.02 + 4хз — х4 — — 2
||
Transcribed Image Text:Use matrices to solve each of the following systems of equations. (а) 2я1 + 5ӕ2 + 3хз — 0 x1 + x2 - x3 = 0 3x1 + 6x2 + x3 0 = x1 + 4x2 + 4x3 = 0 (Ъ) 1 + 2х2 + Охз + х4 + Захъ 4 3x1 – x2 + 4x3 + x4 + 2x5 = 3 4.x1 + x2 + 4x3 + 2x4 + 5x5 = 0 (с) — X1 — Х2 23 + 2х4 4 Х1 + х2 + 2^3 — х4 — —2 xi + x2 + 2x3 + 0x4 = 0 2л1 + 2.02 + 4хз — х4 — — 2 ||
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