Question

[tex] Find the Matrix A and B, if A+B=\left[\begin{array}{ccc}2&5\\9&0\end{array}\right] and A-B=\left[\begin{array}{ccc}6&3\\-1&0\end{array}\right] [\tex]

Answer 1

Answer:

sorry i don't know that question

Answer 2

Answer:

$A=\left[\begin{array}{ccc}4&4\\4&0\\\end{array}\right]$

$B=\left[\begin{array}{ccc}-2&1\\5&0\\\end{array}\right]$

Step-by-step explanation:

GIVEN,

$A+B=\left[\begin{array}{ccc}2&5\\9&0\\\end{array}\right]$

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

$\textrm{On Adding both the equations we are going to get,}$

$2A=\left[\begin{array}{ccc}8&8\\-8&0\\\end{array}\right]$

$\textrm{Therefore A=}\left[\begin{array}{ccc}4&4\\4&0\\\end{array}\right]$

$\textrm{ Now Calculating B}$

$\textrm{As we know A+B=}\left[\begin{array}{ccc}2&5\\9&0\\\end{array}\right]$

$B=\left[\begin{array}{ccc}2&5\\9&0\\\end{array}\right]-\left[\begin{array}{ccc}4&4\\4&0\\\end{array}\right]$

$B=\left[\begin{array}{ccc}-2&1\\5&0\\\end{array}\right]$

$\textrm{Therefore,A=}\left[\begin{array}{ccc}4&4\\4&0\\\end{array}\right]\textrm{and B=}\left[\begin{array}{ccc}-2&1\\5&0\\\end{array}\right]$