If - 2 3- 5 7 - 1 -3- -2 4 - -4 6- -9 x - Write the value of x-

[ 2 amp; 3; 5 amp; 7 ][ 1 amp; 3; 2 amp; 4 ]↓ =[ 4 amp; 6; 9 amp; x ] Or, [ 2 6 amp; 6+12; 5 14 amp ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Scalar Multiplication of a Matrix

If [ 2 3; 5 7...

Question

If $[\begin{matrix} 2 & 3 5 & 7 \end{matrix}] [\begin{matrix} 1 & - 3 - 2 & 4 \end{matrix}] = [\begin{matrix} - 4 & 6 - 9 & x \end{matrix}]$ Write the value of x.

Open in App

Solution

$- ---- \to [\begin{matrix} 2 & 3 5 & 7 \end{matrix}] [\begin{matrix} 1 & - 3 - 2 & 4 \end{matrix}] ↓= [\begin{matrix} - 4 & 6 - 9 & x \end{matrix}]$
Or, $[\begin{matrix} 2 - 6 & - 6 + 12 5 - 14 & - 15 + 28 \end{matrix}] = [\begin{matrix} - 4 & 6 - 9 & x \end{matrix}]$
Or, $[\begin{matrix} - 4 & 6 - 9 & 13 \end{matrix}] = [\begin{matrix} - 4 & 6 - 9 & x \end{matrix}]$
Equating, $x = 3$ Ans.

Suggest Corrections

Similar questions

Q. If

[\begin{matrix} 2 & 3 5 & 7 \end{matrix}] [\begin{matrix} 1 & - 3 - 2 & 4 \end{matrix}] = [\begin{matrix} - 4 & 6 - 9 & x \end{matrix}]

, write the value of

x

Which of the following are equal matrixes.

$A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$
$B = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 4 3 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$
$C = [\begin{matrix} 1 & 2 3 & 4 \end{matrix}]$
$D = ⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 \end{matrix} ⎤ ⎥ ⎦$
$E = [\begin{matrix} 1 & 3 2 & 4 \end{matrix}]$

Q. If

[\begin{matrix} 2 & 3 & 4 \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} 1 & x & 3 2 & 4 & 5 3 & 2 & x \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} x 20 \end{matrix} ⎤ ⎥ ⎦ = 0

, then

x =

Q. Find matrix

X

so that

X [\begin{matrix} 1 & 2 & 3 4 & 5 & 6 \end{matrix}] = [\begin{matrix} - 7 & - 8 & - 9 2 & 4 & 6 \end{matrix}]

Q. If the matrix

⎡ ⎢ ⎣ \begin{matrix} 1 & 2 & λ + 2 2 & 4 & 8 3 & 5 & 10 \end{matrix} ⎤ ⎥ ⎦

is singular, then value of

λ

Join BYJU'S Learning Program

If [2357][1−3−24]=[−46−9x] Write the value of x.

−−−−−→[2357][1−3−24]↓=[−46−9x]Or, [2−6−6+125−14−15+28]=[−46−9x]Or, [−46−913]=[−46−9x]Equating, x=3 Ans.

If $[\begin{matrix} 2 & 3 5 & 7 \end{matrix}] [\begin{matrix} 1 & - 3 - 2 & 4 \end{matrix}] = [\begin{matrix} - 4 & 6 - 9 & x \end{matrix}]$ Write the value of x.