Answer :

We are given that,


We need to find the value of b.


We know by the property of matrices,



This implies,


a11 = b11, a12 = b12, a21 = b21 and a22 = b22


Similarly,


a – b = -1 …(i)


2a + c = 5 …(ii)


2a – b = 0 …(iii)


3c + d = 13 …(iv)


We have the equations (i), (ii), (iii) and (iv).


We need not solve equations (ii) and (iv). We will be able to solve for b from equations (i) and (iii).


Multiply equation (i) by 2.


a – b = -1 [× 2


2a – 2b = -2 …(v)


Subtracting equation (iii) from equation (v),



-b = -2


b = 2


Thus, the value of b = 2.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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
caricature
view all courses
RELATED QUESTIONS :

Using matrices, sMathematics - Board Papers

If possible, usinMathematics - Exemplar

If possible, usinMathematics - Exemplar

Using matrices, sMathematics - Board Papers

Prove that <span Mathematics - Board Papers

Find the value ofMathematics - Board Papers

If A is a <span lMathematics - Board Papers