Q. 203.7( 6 Votes )

Solve for x and y, when



Answer :

Given :


To find : x and y


Formula used :



Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj


If A is a matrix of order a b and B is a matrix of order c d ,then matrix AB exists and is of order a d ,if and only if b = c


The resulting matrix obtained on multiplying and is of order 2 × 1


× = =


=


Equating similar terms,


3x – 4y = 3 equation 1


x + 2y = 11 equation 2


equation 1 + 2(equation 2) and solving the above equations,



5x = 25


x = = 5


x = 5 , substituting x = 2 in equation 2,


5 + 2y = 11


2y =11 – 5 = 6


2y = 6


y = = 3


x = 5 and y = 3


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Triangular Matrices & operations on matrices58 mins
Determining a determinant63 mins
Types of Matrices & Properties51 mins
Determinants of Matrices of different order59 mins
Lecture on Product of Determinants58 mins
Test Yourself, Properties of Determinants30 mins
Interactive Quiz on Matrices & Determinants48 mins
Know About finding the Adjoint & Inverse Of Matrix46 mins
Interactive Quiz on Properties of Determinants43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses