Question

If the cost of 1 kg carrot is ₹ 19.50 Then the cost of 2 kg 500 g is

Answer 1

Step-by-step explanation:

Let the cost of 1 kg onion , 1 kg wheat and 1 kg of rice be Rsx,Rsy,Rsz respectively.

So, 4x+3y+2z=60

2x+4y+6z=90

6x+2y+3z=70

These equations can be written as

AX=B

where A=⎣⎢⎢⎡426342263⎦⎥⎥⎤,X=⎣⎢⎢⎡xyz⎦⎥⎥⎤,B=⎣⎢⎢⎡609070⎦⎥⎥⎤

Here, 

∣A∣=4(12−12)−3(6−36)+2(4−24)

⇒∣A∣=90−40=50

Since, ∣A∣=0

Hence, the system of equations is consistent and has a unique solution given by X==A−1B

A−1=∣A∣adjA

Answer 2

Step-by-step explanation:

Let the cost of 1 kg onion , 1 kg wheat and 1 kg of rice be Rsx,Rsy,Rsz respectively.

So, 4x+3y+2z=60

2x+4y+6z=90

6x+2y+3z=70

These equations can be written as

AX=B