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Find the values of a, b, c, d {bmatrix} 2a+b & a-2b 5c-d & 4c

Question

Find the values of $a, b, c, d$
$[2 a + b 5 c - d a - 2 b 4 c + 3 d] = [411 - 3 24]$

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Samuel Discussed

Find the values of

a, b, c, d

[2 a + b 5 c - d a - 2 b 4 c + 3 d] = [411 - 3 24]

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

[2 a + b 5 c - d a - 2 b 4 c + 3 d] = [411 - 3 24]

When two matrices are equal then their corresponding elements are equal

i.e.,

2 a + b = 4

and

a - 2 b = - 3

By solving, we get

a = 1, b = 2

5 c - d = 11

and

4 c + 3 d = 24

By solving, we get

c = 3, d = 4

∴

The values of

a, b, c

and

d

are

1, 2, 3

and

4

respectively.

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Question Text	Find the values of $a, b, c, d$ $[2 a + b 5 c - d a - 2 b 4 c + 3 d] = [411 - 3 24]$
Answer Type	Text solution:1
Upvotes	150