Class 11: Maths Chapter 4 solutions. Complete Class 11 Maths Chapter 4 Notes.
Maharashtra Board Solutions Class 11-Arts & Science Maths (Part 1): Chapter 4- Determinants and Matrices
Maharashtra Board 11th Maths Chapter 4, Class 11 Maths Chapter 4 solutions
Ex 4.1
Ex 4.2
∴ x — 1 = 0 or x-2 = 0 or x-3 = 0
∴ x = 1 or x = 2 or x = 3
Ex 4.3
= 0
∴ The given equations are consistent.
∴ k(-1) – 3(-1) + 1(-1) = 0
∴ -k + 3 – 1 = 0
∴ k = 2.
Ex 4.4
Ex 4.5
three subjects – Physics, Chemistry and Mathematics for two months, July and August 2017 are given by two matrices A and B.
i. Find the increase in sales in Rupees from July to August 2017.
ii. If both book shops got 10% profit in the month of August 2017, find the profit for each bookseller in each subject in that month.
Solution:
i. Increase in sales in rupees from July to August 2017
For Suresh:
Increase in sales for Physics books
= 6650 – 5600= ₹ 1050
Increase in sales for Chemistry books
= 7055 – 6750 = ₹ 305
Increase in sales for Mathematics books
= 8905 – 8500 = ₹ 405
For Ganesh:
Increase in sales for Physics books
= 7000 – 6650 = ₹ 350
Increase in sales for Chemistry books
= 7500 – 7055 = ₹ 445
Increase in sales for Mathematics books
= 10200 – 8905 = ₹ 1295
[Note: Answers given in the textbook are 1760, 2090. However, as per our calculation they are 1050, 305, 405, 350, 445, 1295.]
ii. Both book shops got 10% profit in the month of August 2017.
For Suresh:
Ex 4.6
From (i) and (ii), we get
AB = BA
Ex 4.7
∴ A is a diagonal matrix.
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Maharashtra Board Solutions Class 11-Arts & Science Maths (Part 1): Chapter 4- Determinants and Matrices
Chapterwise Maharashtra Board Solutions Class 11 Arts & Science Maths (Part 1) :
- Chapter 1- Angle and its Measurement
- Chapter 2- Trigonometry – I
- Chapter 3- Trigonometry – II
- Chapter 4- Determinants and Matrices
- Chapter 5- Straight Line
- Chapter 6- Circle
- Chapter 7- Conic Sections
- Chapter 8- Measures of Dispersion
- Chapter 9- Probability