Question 10 - Week 2 Practice

Question 10

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 a unique solution for the given system of equations?

Comprehension

Easy Difficulty

23 February 2025