English

Find the value of x if |x-122x1-33-45| = 29 - Mathematics and Statistics

Advertisements
Advertisements

Question

Find the value of x if `|(x, -1, 2),(2x, 1, -3),(3, -4, 5)|` = 29 

Sum

Solution

`|(x, -1, 2),(2x, 1, -3),(3, -4, 5)|` = 29 

∴ `x|(1, -3),(-4, 5)|-(-1)|(2x, -3),(3, 5)|+ 2|(2x, 1),(3, -4)|` = 29

∴ x(5 – 12) + 1(10x + 9) + 2(–8x – 3) = 29

∴ –7x + 10x + 9 – 16x – 6 = 29

∴ –13x + 3 = 29

∴ –13x = 26

∴ x = – 2

shaalaa.com
Definition and Expansion of Determinants
  Is there an error in this question or solution?
Chapter 4: Determinants and Matrices - Exercise 4.1 [Page 63]

APPEARS IN

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×