# GATE Questions & Answers of Solution of Linear Equations – Existence and Uniqueness

## What is the Weightage of Solution of Linear Equations – Existence and Uniqueness in GATE Exam?

Total 3 Questions have been asked from Solution of Linear Equations – Existence and Uniqueness topic of Linear Algebra subject in previous GATE papers. Average marks 1.67.

The system of linear equations

$\left(\begin{array}{ccc}2& 1& 3\\ 3& 0& 1\\ 1& 2& 5\end{array}\right)\left(\begin{array}{c}a\\ b\\ c\end{array}\right)=\left(\begin{array}{c}5\\ -4\\ 14\end{array}\right)$ has

The system of equations
x +y+ z= 6
x+ 4y+ 6z = 20
x+ 4y+ λz = μ

has NO solution for values of λ and μ given by