# How To Solve Matrices

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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|