Matrices and determinant practice questions(case based/MCQs)
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Course
Mathematics
Institution
Practice questions on matrices serve as essential exercises for reinforcing understanding and proficiency in matrix operations and applications. These questions typically encompass a variety of topics, including matrix addition, subtraction, multiplication, and scalar multiplication. They often inv...
MATRICES Practice Questions
1. A manufacture produce three stationery products Pencil, Eraser and Sharpener which he
sells in two markets. Annual sales are indicated below
Market Products (in numbers)
Pencil Eraser Sharpener
A 10000 2000 18000
B 6000 20000 8000
If the unit sale price of Pencil, Eraser and Sharpener are Rs 2.50, Rs 1.50 and Rs 1.00
respectively, and unit cost of the above three commodities are Rs 2.00,
Rs 1.00 and Rs 0.50 respectively.
Based on the above information, answer the following questions
(i) Total revenue of market A is
(a) 64000 (b) 60400
(c) 46000 (d) 40600
(ii) Total revenue of market B is
(a) 35000 (b) 53000
(c) 50300 (d) 30500
(iii) Cost incurred in market A is
(a) 13000 (b) 30100
(c) 10300 (d) 31000
(iv) Profit in market A and B respectively are
(a) (15.000,17000)
(b) (17,000,15,000)
(c) (51000,71000)
(d) (10000,20000)
(v) Gross profit in both market is
(a) 23000 (b) 20300
, (c) 32000 (d) 30200
2. Amit, Biraj and Chiraj were given the task of creating a square matrix of order 2. A, B, C are the
matrices created by Amit, Biraj and Chirag respectively, where
A=[−11 23] [ 41 05] [ 21 −20 ]
, B= , C=
Based on the above information, answer the following questions
(i) Sum of the matrices A, B and C, A+(B+C) is
(a) [ 12 67] [ 67 12]
(b)
(c) [ 71 62](d )[ 27 61]
(ii) (AT)T is equal to
(a) [−11 23] (b) [ 23 −11 ]
(c)[ 12 −13 ] (d) [−12 31]
(iii) (-2A)T is equal to
(a) [−22 −4
−6 ]
(b) [−2
−4 −6 ]
2
(c) [−2
−6 −4 ]
2
(d) [−62 −24 ]
(iv) AC-BC is equal to
(a) [−4
−4 4 ]
−6
(b) [−44 −4
−6 ]
(c) [−4
−6 4 ]
−4
(d) [−6
−4 −4 ]
4
(v) (4-2) B is equal to
(a) [ 100 82 ] (b) [ 28 100 ]
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