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


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
view all courses

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