Home
Class 12
MATHS
Find the values of x,y,z if the matrix ...

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.

Text Solution

Verified by Experts

The correct Answer is:
`=+-(1)/(sqrt(3))`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |55 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise TEXTBOOK BASED MCQS|43 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise EXERCISE -3.4|18 Videos

  • LINEAR PROGRAMMING

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|25 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

Similar Questions

Explore conceptually related problems

Matrix A=[{:(0,2y,z),(x,y,-z),(x,-y,z):}] if A A^(T)=I then , (x,y,z)=(...,...,...)(x,y,zgt0)

Find the values 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):}]

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

|{:(0,xyz,x-z),(y-x,0,y-z),(z-x,z-y,0):}|=".........."

If x,y,z are nonzero real numbers, then the inverse of matrix A=[{:(x,0,0),(0,y,0),(0,0,z):}] is ………

Using the properties of determinants in Exercise 1 to 6, evaluate |{:(a+x,y,z),(x,a+y,z),(x,y,a+z):}|

The system of equations {:(x+2y+3z=4),(2x+3y+4z=5),(3x+4y+5z=6):} has …………… solutions

|{:(x,1,y+z),(y,1,z+x),(z,1,x+y):}|=.......