Question 22 - Week 2 Practice

Question 22

00:00Est. 2 min

Marks:+2.000.00

Passage

Shivani, Sruthi and Smriti enjoyed shopping on a Sunday. Shivani bought 2 shirts, a T-shirt and 2 pants, whereas Sruthi bought a T-shirt and a pant and Smriti bought 2 shirts and a pant. They paid Rs. 600, Rs. 400 and Rs. 300 respectively. Suppose

x_1

is the price of a shirt,

x_2

is the price of a T-shirt and

x_3

is the price of a pant. Then the above information forms a system of linear equations. If

Ax=b

is the matrix representation of the above system, where

x=[x_1,x_2,x_3]^T

is the vector that represents the price of a shirt, T-shirt and pant respectively, answer the given subquestions.

Question

How many solutions does the given system

Ax=b

have?

Comprehension

Medium Difficulty

16 July 2023

Your answer