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If {bmatrix} a + 4& 3b 8 & -6{bmatrix} = {bmatrix}2a + 2 & b +

Question

If $[a + 4 8 3 b - 6] = [2 a + 2 8 b + 2 a - 8 b]$ , then write the value of $a - 2 b$ .

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[a + 4 8 3 b - 6] = [2 a + 2 8 b + 2 a - 8 b]

, then write the value of

a - 2 b

7 mins ago

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Text solutionVerified

[a + 4 8 3 b - 6] = [2 a + 2 8 b + 2 a - 8 b]

Matrices are equal then, there corresponding elements are also equal.

Now,

\Rightarrow

a + 4 = 2 a + 2

\Rightarrow

a - 2 a = 2 - 4

\Rightarrow

- a = - 2

∴

a = 2

----- ( 1 )

Also,

\Rightarrow

3 b = b + 2

\Rightarrow

3 b - b = 2

\Rightarrow

2 b = 2

∴

b = 1

----- ( 2 )

\Rightarrow

a - 2 b = 2 - 2 (1)

[ From ( 1 ) and ( 2 ) ]

= 2 - 2

= 0

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Question Text	If $[a + 4 8 3 b - 6] = [2 a + 2 8 b + 2 a - 8 b]$ , then write the value of $a - 2 b$ .
Answer Type	Text solution:1
Upvotes	150