Find the values of a, b, c and d from the equations:

Asked by Aaryan | 1 year ago |  201

##### Solution :-

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

Given that two matrices are equal.

Therefore by equating them we get,

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, substituting 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, substituting 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

Answered by Aaryan | 1 year ago

### Related Questions

#### Find x, y, a and b if

Find x, y, a and b if

#### Find x, y, a and b if

Find x, y, a and b if

#### Construct a 4 × 3 matrix A = [ai j] whose elements ai j are given by ai j = i

Construct a 4 × 3 matrix A = [ai j] whose elements ai j are given by ai j = i

Construct a 4 × 3 matrix A = [ai j] whose elements ai j are given by $$a_{i j} = \dfrac{(i – j)}{(i + j)}$$
Construct a 4 × 3 matrix A = [ai j] whose elements ai j are given by ai j = 2i + $$\dfrac{i}{j}$$