Example 1:
Find the addition of the following matrices.
(a)(18 −7)+(3 6)(b) (−1307−1)+(−1356)
Solution:
Example 2:
Find the subtraction of the following matrices.
(a)(96)−(7−2)(b)(3−405)−(−7−3−61)
Solution:
(a)(96)−(7−2)=(9−76−(−2))=(28)(b)(3−405)−(−7−3−61)=(3−(−7)−4−(−3)0−(−6)5−1)=(3+7−4+30+65−1)=(10−164)
Example 3:
Given that (pq)+(5p9)=(−123q+1) , find the values of p and q.
Solution:
(pq)+(5p9)=(−123q+1)(p+5pq+9)=(−123q+1)
p + 5p = –12
6p = –12
p = –2
q + 9 = 3q + 1
q – 3q = 1 – 9
–2q = –8
q = 4
Example 4:
Find the values of m and n in the following matrix equation.
(76n1)−(−1m−4−2)=(512611)
Solution:
(76n1)−(−1m−4−2)=(512611)
(76n1)−(−1m−4−2)=(512611)
Solution:
6 – m = 12
–m = 6
m = –6
n – (–4) = 6
n + 4 = 6
n = 2