How To Solve Matrices

Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

SIGN UP FOR A FREE TRIAL




In science commerce and even in our daily life it is often convenient to represent set of numbers in rows and columns, called arrays. Such an array of numbers arranged in rows and columns is called a matrix.
 
How to solve matrices: -

Addition and subtraction of matrices: -

If A = | a          b |        B= | e              f |
          | c         d |               | g             h|
 

Then A + B = | a + e             b + f   |
                      | c + g               d + h|
 

And A – B = | a – e               b – f|
                    | c – g              d – h|
 


Question 1: If A = | 1               6|         and     B = | 2             5|
                              | 3              4 |                           | 8            7|
Find A + B.

 

Solution: - A + B
= | 1                 6 | + | 2        5|
   | 3                 4 | | 8           7|
 
=| 1 + 2           6 + 5|
  | 3 + 8           4 + 7|
 
= | 3                 11|
   | 11               11|
 
Therefore A + B = | 3               11|
                             | 11             11|
 
 
Question 2: - If A = | 2         -5 |       B = | 3              2|
                                 |1           0 |              |6              7|

Find A – B.
 

Solution: - A – B
 
= | 2     -5 | -  | 3          2|
   |1        0|     |6          7|
 
= | 2 – 3          - 5 – 2|
   | 1 – 6           0  - 7 |
 

= | -1   -7|

   | -5    -7|
 
Therefore A – B = | -1          -7|
                              | -5          -7|
 
 
 

HAVE A QUESTION? Chat With Our Tutoring Experts Now