Equations, point of intesection, plane of intersection
November 14th, 2022
14) Solve the following system of equations
x1 – 3 x2 =5
-x1 + x2 + 5 x3= 2
x2 + x3 =0
15) Determine if the system is consistent. Do not completely solve
x1 + 3 x3 =2
x2-3×4 =3
-2×2+ 3×3 + 2 x4= 1
7 x4= -5
17) Do the three lines x1 -4 x2 = 1, 2 x1 -x2 = -3, – x1 -3 x2 =4 , have a common point of intersection? Explain
18) Do the three planes x1+ 2 x2+ x3 = 4 , x2 -x3 = 1, x1+ 3 x2= 0, have at least one common point of intersection? Explain
