Question 9 - Week 2 Practice

Question 9

00:00Est. 2 min

Marks:+2.000.00

Passage

Consider the system of equations whose matrix representation is

Ax=b

, where

A=\begin{bmatrix}2&6\\k^2&12\end{bmatrix},\quad x=\begin{bmatrix}x_1\\x_2\end{bmatrix},\quad b=\begin{bmatrix}k\\4\end{bmatrix},

for some

k\in\mathbb{R}

. Based on the above data, answer the given subquestions.

Question

Which of the following conditions is equivalent to having no solutions for the given system of equations?

Comprehension

Medium Difficulty

23 February 2025