Q. 54.0( 4 Votes )

# Find values of a

We have the matrices A and B, where

We need to find the values of a and b.

We know that, if

Then,

a11 = b11

a12 = b12

a21 = b21

a22 = b22

Also, A = B.

This means,

a + 4 = 2a + 2 …(i)

3b = b2 + 2 …(ii)

8 = 8

-6 = b2 – 5b …(iii)

From equation (i), we can find the value of a.

a + 4 = 2a + 2

2a – a = 4 – 2

a = 2

From equation (ii), we can find the value of b2.

3b = b2 + 2

b2= 3b – 2

Substitute the value of b2 in equation (iii), we get

-6 = b2 – 5b

-6 = (3b – 2) – 5b

-6 = 3b – 2 – 5b

-6 = 3b – 5b – 2

-6 = -2b – 2

2b = 6 – 2

2b = 4

b = 2

Thus, a = 2 and 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
RELATED QUESTIONS :

If <span lang="ENMathematics - Exemplar

Solve for x and yMathematics - Exemplar

<span lang="EN-USMathematics - Exemplar

If AB = BA for anMathematics - Exemplar

If <img widMathematics - Exemplar

Total number of pMathematics - Exemplar

The matrix <span Mathematics - Exemplar

Show by an examplMathematics - Exemplar

If <img widMathematics - Exemplar

If matrix <span lMathematics - Exemplar