Question

2A – B का मान ज्ञात कीजिए, यदि

Answer 1

2A – B का मान = $\left[\begin{array}{ccc}-1&5&3\\5&6&0\\\end{array}\right]$

Step-by-step explanation:

प्रश्न द्वारा दिया गया,

$A=\left[\begin{array}{ccc}1&2&3\\2&3&1\\\end{array}\right]$ and $B=\left[\begin{array}{ccc}3&-1&3\\-1&0&2\\\end{array}\right]$

2A – B का मान = ?

∴ $2A=2\left[\begin{array}{ccc}1&2&3\\2&3&1\\\end{array}\right]$

$=\left[\begin{array}{ccc}2&4&6\\4&6&2\\\end{array}\right]$

$2A - B =\left[\begin{array}{ccc}2&4&6\\4&6&2\\\end{array}\right]-\left[\begin{array}{ccc}3&-1&3\\-1&0&2\\\end{array}\right]$

=$\left[\begin{array}{ccc}2&4&6\\4&6&2\\\end{array}\right]+\left[\begin{array}{ccc}-3&1&-3\\1&0&-2\\\end{array}\right]$

= $\left[\begin{array}{ccc}2-3&4+1&6-3\\4+1&6+0&2-2\\\end{array}\right]$

= $\left[\begin{array}{ccc}-1&5&3\\5&6&0\\\end{array}\right]$

∴ 2A – B का मान = $\left[\begin{array}{ccc}-1&5&3\\5&6&0\\\end{array}\right]$

Answer 2

$2A-B=\begin{pmatrix} -1 & 5 & 3 \\ 5 & 6 & 0 \end{pmatrix}$

Step-by-step explanation:

यहा दिया हुआ

 $A=\begin{pmatrix} 1 & 2 & 3\\ 2 & 3 & 1 \end{pmatrix}$   $B=\begin{pmatrix} 3 & -1 & 3\\ -1 & 0 & 2 \end{pmatrix}$    

ईक्वेशन दिया हुआ है की $2A-B$

   $2A=\begin{pmatrix} 1\times 2 & 2\times 2 & 3\times 2\\ 2\times 2 & 3\times 2 & 1\times 2 \end{pmatrix}$    

  $B=\begin{pmatrix} 3 & -1 & 3\\-1 & 0 & 2 \end{pmatrix}$

   $2A-B=\begin{pmatrix} 2-3 & 4-(1) & 6-3 \\ 4-(-1) & 6-0 & 2-2 \end{pmatrix}$

       $2A-B=\begin{pmatrix} -1 & 5 & 3 \\ 5 & 6 & 0 \end{pmatrix}$