If - 2a-b a-2b- 5c-d 4c-3d - 4 -3- 11 24 - then b is

By equality of two matrices, equating the corresponding elements a_11 and a_12, we get nbsp; 2a+b=4 a 2b= 3 On solving these equations, we get nbsp; b=2 and ...

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Standard X

Mathematics

Null Matrix

If [ 2a+b a-2...

Question

If $[\begin{matrix} 2 a + b & a - 2 b 5 c - d & 4 c + 3 d \end{matrix}] = [\begin{matrix} 4 & - 3 11 & 24 \end{matrix}]$ , then $b$ is

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Solution

The correct option is B $2$
By equality of two matrices, equating the corresponding elements $a_{11}$ and $a_{12}$ , we get
$2 a + b = 4$
$a - 2 b = - 3$
On solving these equations, we get
$b = 2$ and $a = 1$ .

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Similar questions

Q. Find the values of

a, b, c, d

[\begin{matrix} 2 a + b & a - 2 b 5 c - d & 4 c + 3 d \end{matrix}] = [\begin{matrix} 4 & - 3 11 & 24 \end{matrix}]

Q. Find the values of

a, b, c

and

d

from the following equation:

[\begin{matrix} 2 a + b & a - 2 b 5 c - d & 4 c + 3 d \end{matrix}] = [\begin{matrix} 4 & - 3 11 & 24 \end{matrix}]

Q. Find values of a,b,c and d

(\begin{matrix} 2 a + b & a - 2 b 5 c - d & 4 c + 3 d \end{matrix}) = (\begin{matrix} 4 & - 3 11 & 24 \end{matrix})

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

[\begin{matrix} 2 a + b & a - 2 b \\ 5 c - d & 4 c + 3 d \end{matrix}] = [\begin{matrix} 4 & - 3 \\ 11 & 24 \end{matrix}]

Q. If

3 x - 2 = 13

, then

x

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Null Matrix

Standard X Mathematics

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If [2a+ba−2b5c−d4c+3d]=[4−31124], then b is

The correct option is B 2By equality of two matrices, equating the corresponding elements a11 and a12, we get 2a+b=4 a−2b=−3 On solving these equations, we get b=2 and a=1.

If $[\begin{matrix} 2 a + b & a - 2 b 5 c - d & 4 c + 3 d \end{matrix}] = [\begin{matrix} 4 & - 3 11 & 24 \end{matrix}]$ , then $b$ is

The correct option is B $2$
By equality of two matrices, equating the corresponding elements $a_{11}$ and $a_{12}$ , we get
$2 a + b = 4$
$a - 2 b = - 3$
On solving these equations, we get
$b = 2$ and $a = 1$ .