Since A transforms into the identity matrix, we know that the transform of C is the unique solution to the system of linear equations, namely x = 0, y = 2, and z = -1. Note that we get the same result by calculating X = A–1 C. Example 3: Solve the following homogeneous linear...
The system of linear equations λx + y + z = 3 x - y - 2z = 6 −x+y+z=μ has Ainfinite number of solutions for λ≠−1 and all μ Binfinite number of solutions for λ = -1 and μ = 3 Cno solution for λ≠−1 Dunique solution for λ = -1 and μ = 3Submit ...
Unique integer solutionLinear equationsLinear programminglinear equations in variables = and give necessary and sufficient conditions for the existence of a unique solution to the system that is integer: 鈭坽1,1}n. We achieve this by reformulating the problem as a linear program and deriving ...
结果1 题目 Consider the system of linear equations.x_1+2x_2+x_3=3 2x_1+3x_2+x_3=3 3x_1+5x_2+2x_3=1The system has: A exactly 3 solutions B a unique solution nt e no solution D infinitenumber of solutions 相关知识点: 试题来源: 解析 Answer is above. 反馈 收藏 ...
题目 Consider the system of linear equations x_1+2x_2+x_3=31 2x_1+3x_2+x_3=3 3x_1+5x_2+2x_3=11 The system has D A)Infinite number of solutions B)Exactly 3 solutions C) A unique solution D)No solution E)None of these 相关知识点: 试题来源: 解析 D 反馈 收藏 ...
(c)has a unique solution. There are 3 steps to solve this one. Solution ShareShare Step 1 The given system of linear equations are x+ay+2z=5ax+y+z=12x−2y+(a+2)z=8 Now the augmented matrix of the above system is [1a25a1112−2a+...
If a, b, care positive real numbers and the system of equations (a - 1) x = y + z, (b - 1) y = z + x and (c - 1)z = x + y has a non trivial solution, then find the minimum value of abc10 . View Solution If the system of linear equations a(y+z)−x=0,b(...
Solving a2x2system of linear equations that is inconsistent or consisten... Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution. \table[[System A-3x+y=-9 ...
Linear System of Equations A linear system of equations is a set of linear equationsin variables (sometimes called "unknowns"). Linear systems can be represented in matrix form as thematrix equation (1) where is the matrix of coefficients, is thecolumn vectorofvariables, and is thecolumn ...
Expressions and Equations/ What is a solution to a System of Equations Grade Level8 Activity16of18 In this lesson students are introduced to a system of linear equations in two variables and find solutions using balances. Then students investigate graphically systems with a unique solution, no so...