THE RIGHT’S ACADEMY
Near Bhalla Chowk, Lahore.
Test Session 2020-21
Subject: Math’s (Ch # 01)
Class: 𝟗𝒕𝒉
Date: 10th March, 2021
Instructor: Syed Ali Abbas
Duration: 1hr 30 minutes
Total Marks : 35
 Solve the following questions?
( 20 Marks )
1-Differentiate between scalar and diagonal matrix?
1
2-If 𝐵 = [
2
1
] then verify 𝐵 − 𝐵𝑡 𝑖𝑠 skew symmetric?
0
1
3
3-Find Multiplicative inverse of 𝐴 = [ 2 4 ] ?
1 2
1
4- Find the additive Inverse of [ √3
]
−1 √2
1 2
1 1
5-If 𝐴 = [
],𝐵 = [
] then Verify (𝐴 − 𝐵)𝑡 = 𝐴𝑡 − 𝐵𝑡
0 1
2 0
6- If 𝐶 = [1
−1 2] find – 𝟐𝑪 ?
1 0
0
07- Perform Indicated operations and simplify [
] + ([
0 1
3
08- Multiply the following matrices [
09- Find the value of X if [
8 5 2
][
6 4 −4
2
1 1
]−[
])
0
1 0
−5
2]
4
2 1
4 −2
]+𝑋 = [
]
3 −3
−1 −2
𝑎+3
4
−3 4
10- If [
]=[
] then find a and b ?
6
𝑏−1
6 2
Long Questions
(10 Marks )
1. Solve by Cramer’s Rule 4𝑥 + 2𝑦 = 8 ; 3𝑥 − 𝑦 = −1
2. Two sides of a rectangle differ by 3.5 cm. Find the dimensions of the rectangle if its perimeter is
67cm. (Use Matrix Inversion Method to Solve).
Multiple Choice Questions.
( 5 Marks )
1. The Order of a matrix [2 1] is:
a) 2 × 1
b) 1 × 2
c) 2 × 2
d) 𝑁𝑜𝑛𝑒
𝟎
2. [√𝟐
] is called __________ matric.
𝟎 √𝟐
a) 𝑆𝑐𝑎𝑙𝑎𝑟
b) 𝐷𝑖𝑎𝑔𝑜𝑛𝑎𝑙
2
3. Order of a transpose of [0
3
a) 2 by 3
c) 𝐼𝑑𝑒𝑛𝑡𝑖𝑡𝑦
d) 𝑁𝑢𝑙𝑙
c) 2 by 2
d) 1 by 2
c) 1 by 2
d) 2 by 1
1
1]
2
b) 3 by 2
4. Which is the order of a square matrix ?
a) 2 by 2
5. Product of [𝑥
a) [𝟐𝒙 + 𝒚]
b) 3 by 2
𝑦] [ 2 ]
−1
b) [𝟐𝒙 − 𝒚]
c) [𝑥 − 2𝑦]
d) 1