Q. 104.8( 9 Votes )

# Find the values o

Answer :

Given two matrices are equal. We know that if two matrices are equal then the elements of each matrices are also equal.

2a + b = 4 …… (1)

And a – 2b = – 3 ……(2)

And 5c – d = 11 …… (3)

4c + 3d = 24 …… (4)

Multiplying equation (1) by 2 and adding to equation (2)

4a + 2b + a – 2b = 8 – 3

5a = 5

a = 1

Now, Putting the value of a in equation (1)

2×1 + b = 4

2 + b = 4

b = 4 – 2

b = 2

Multiplying equation (3) by 3 and adding to equation (4)

15c – 3d + 4c + 3d = 33 + 24

19c = 57

c = 3

Now, Putting the value of c in equation (4)

4×3 + 3d = 24

12 + 3d = 24

3d = 24 – 12

3d = 12

d = 4

a = 1, b = 2, c = 3 and d = 4

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