Matrices and Determinants
Comprehensive Questions & Answers for SSC-I Mathematics (Rawalpindi Board)
Q1
Long Question
Find the sum and difference of two given matrices.
Answer:
Solution
(i) Sum of Matrices (A+B)
Rule: Add the corresponding elements of both matrices.
A+B=[
2+4
3+6
5+1
7+2
]
Now calculate:
2+4=6
5+1=6
3+6=9
7+2=9
Therefore,
A+B=[
6
9
6
9
]
Answer:
A+B=[
6
9
6
9
]
(ii) Difference of Matrices (A−B)
Rule: Subtract the corresponding elements of matrix B from matrix A.
A−B=[
2−4
3−6
5−1
7−2
]
Now calculate:
2−4=−2
5−1=4
3−6=−3
7−2=5
Therefore,
A−B=[
−2
−3
4
5
]
Answer:
A−B=[
−2
−3
4
5
]
Final Answers
A+B=[
6
9
6
9
]
A−B=[
−2
−3
4
5]