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:
`x= pm (1)/(sqrt(2)), y=pm (1)/(sqrt(6)), z=pm (1)/(sqrt(3))`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NCERT TAMIL|Exercise EXERCISE 3.4|18 Videos

  • LINEAR PROGRAMMING

    NCERT TAMIL|Exercise MISCELLANEOUS EXERCISE|5 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    NCERT TAMIL|Exercise EXERCISE 10.9|25 Videos

Similar Questions

Explore conceptually related problems

Find the value of x, y, z if [(x, y-z, z+3)]+[(y, 4, 3)]

Find the value of x, y, z if ((x-3, 3x-z), (x+y+7, x+y+z))=((1, 0), (1, 6))

Find the values of x, y, and z from the following equations [(12, 3), (x, 5)]=[(y, z), (3, 5)]

Find the values of x, y, and z from the following equations [(x+y+a), (x+z), (y+z)]=[(9), (5), (7)]

Find the values of x, y, and z from the following equations [(x+y, 2), (5+z, xy)]=[(6, 2), (5, 8)]

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