Home
Class 12
MATHS
Find the value of x, y and z from the fo...

Find the value of x, y and z from the following equations:
(i) `[(4,3),(x,5)]=[(y,z),(1,5)]`
(ii) `[(x+y, 2 ),(5+z, xy)]=[(6,2),(5,8)]`
(iii) `[(x+y+z),(x+z), (y+z)]=[(9),(5),(7)]`

Text Solution

Verified by Experts

The correct Answer is:
(i) `x=1,y=4,z=3`
(ii) `x=4,y=2,z=0 or x=2, y=4, z=0`
(iii) `x=2,y=4,z=3`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NCERT BANGLISH|Exercise EXERCISE 3.2|22 Videos

  • MATRICES

    NCERT BANGLISH|Exercise EXERCISE 3.3|14 Videos

  • MATRICES

    NCERT BANGLISH|Exercise Miscellaneous Exercise on Chapter 3|15 Videos

  • LINEAR PROGRAMMING

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE|8 Videos

  • PROBABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos

Similar Questions

Explore conceptually related problems

Eliminate x,y and z from the following equations: (x)/(y+z)=a,y/(z+x)=b,z/(x+y)=c

find the values of x,y,z and t when the following matrices are equal : {:[(x+y,y-z),(5-t,7+x)]and {:[(t-x,z-t),(z-y,x+z+t)]

Find the value of x, y, z and t for which the following two matrices may be equal: {:[(x-z,-z-x),(7-t,6+z)]and {:[(3-t,5-t),(t+5,x-y)]:}

Find the values of x, y, z if the matrix A=[(0, 2y,z),(x,y,-z),(x,-y,z)] satisfy the equation A'A=I .

Find the values of x, y and z if {:[(x+y+z),(z+x),(y+z)]={:[(9),(5),(7)]

Find the values of x ,\ y,\ z if the matrix A=[(0,2y,z), (x, y,-z ),(x,-y, z)] satisfy the equation A^T\ A=I_3 .

Find the product of (5x - y +z) (5x - y +z)

Solve the system of equations in x,y and z satisfying the following equations x+[y]+{z}=3.1, y+[z]+{x}=4.3 and z+[x]+{y}=5.4

Find the angle between the following pair of lines (x-7)/(2)=(y+5)/(7)=(z+2)/(-3)" and "(x+2)/(-1)=(y-3)/(2)=(z-5)/(4)

Solve by matrix inversion method the following system of equations. 8x + 4y + 3z = 18, 2x + y + z = 5, x + 2y + z = 5