If [2 0 7 0 1 0 1 -2 1][- x 14 x 7 x 0 1 0 x -4 x -2 x ]=[1 0 0 0 1 0 0 0 1] then find the value of x

Question

If [2 0 7 0 1 0 1 -2 1][- x 14 x 7 x 0 1 0 x -4 x -2 x ]=[1 0 0 0 1 0 0 0 1] then find the value of x (A) (1/2) (B) (1/5) (C) No unique value of 'x' (D) None of these

Tardigrade Admin · Accepted Answer

We have [2 0 7 0 1 0 1 -2 1] [- x 14 x 7 x 0 1 0 x -4 x -2 x ] =[5x 0 0 0 1 0 0 10x-2 5x] =[1 0 0 0 1 0 0 0 1] ⇒ x = 1/5

Q. If $⎣ ⎡ 201 01 - 2 701 ⎦ ⎤ ⎣ ⎡ - x 0 x 14 x 1 - 4 x 7 x 0 - 2 x ⎦ ⎤ = ⎣ ⎡ 100010001 ⎦ ⎤$ then find the value of $x$

$\frac{1}{2}$

$\frac{1}{5}$

No unique value of 'x'

None of these

We have $⎣ ⎡ 201 01 - 2 701 ⎦ ⎤$
$⎣ ⎡ - x 0 x 14 x 1 - 4 x 7 x 0 - 2 x ⎦ ⎤ = ⎣ ⎡ 5 x 00 01 10 x - 2 00 5 x ⎦ ⎤$
$= ⎣ ⎡ 100010001 ⎦ ⎤$
$\Rightarrow x = 1/5$

Q. If ⎣⎡​201​01−2​701​⎦⎤​⎣⎡​−x0x​14x1−4x​7x0−2x​⎦⎤​=⎣⎡​100​010​001​⎦⎤​ then find the value of x

21​

51​