- 10 20 30- 20 45 80- 30 80 171 - 1 0 0- 2 1 0- 3 4 1 - x 0 0- 0 5 0- 0 0 1 - 1 2 3- 0 1 4- 0 0 1 - then x-

The correct option is A 10 Given, [ 10 amp; 20 amp; 30; 20 amp; 45 amp; 80; 30 amp; 80 amp; 171 ]=[ 1 amp; 0 amp; 0; ...

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Byju's Answer

Standard XII

Mathematics

Multiplication of Matrices

[ 10 20 30; 2...

Question

$⎡ ⎢ ⎣ \begin{matrix} 10 & 20 & 30 20 & 45 & 80 30 & 80 & 171 \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 0 2 & 1 & 0 3 & 4 & 1 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} x & 0 & 0 0 & 5 & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 0 & 1 & 4 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦$ then $x =$

10

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20

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30

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40

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Solution

The correct option is A $10$
Given, $⎡ ⎢ ⎣ \begin{matrix} 10 & 20 & 30 20 & 45 & 80 30 & 80 & 171 \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} 1 & 0 & 0 2 & 1 & 0 3 & 4 & 1 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} x & 0 & 0 0 & 5 & 0 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 0 & 1 & 4 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦$
$\Rightarrow ⎡ ⎢ ⎣ \begin{matrix} 10 & 20 & 30 20 & 45 & 80 30 & 80 & 171 \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} x & 0 & 0 2 x & 5 & 0 3 x & 20 & 1 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 0 & 1 & 4 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦$
$\Rightarrow ⎡ ⎢ ⎣ \begin{matrix} 10 & 20 & 30 20 & 45 & 80 30 & 80 & 171 \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} x & 2 x & 3 x 2 x & 4 x + 5 & 6 x + 20 3 x & 6 x + 20 & 9 x + 81 \end{matrix} ⎤ ⎥ ⎦$
On comparing, we get $x = 10$

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Similar questions

Identify the modal class:

Q. If the mode for the following frequency distribution is

22

and

10 > y > x

, then

y =

Class interval	0-10	10-20	20-30	30-40	40-50	Total
Frequency	5	8	10	x	y	30

Q. Find mode for grouped data given below

:

X	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$
F	$20$	$10$	$10$	$10$	$40$	$30$

a) Which class has the highest frequency?

b) If Sachin scores 20 then in which interval will he be placed in?

c) What is the upper-class limit of the class interval 10-20?

$\begin{matrix} R u n s & C r i c k e t e r s 0 - 10 & 10 10 - 20 & 3 20 - 30 & 14 30 - 40 & 25 40 - 50 & 11 \end{matrix}$

If the cumulative frequency for the class interval (50-60) is 92, then find x

$\begin{matrix} Class Interval & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 Frequency & 12 & 20 & x & 18 & 10 & 6 \end{matrix}$

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⎡⎢⎣1020302045803080171⎤⎥⎦=⎡⎢⎣100210341⎤⎥⎦⎡⎢⎣x00050001⎤⎥⎦⎡⎢⎣123014001⎤⎥⎦ then x=