If a matricx [{:(0,2beta,gamma),(alpha,b...

If a matricx `[{:(0,2beta,gamma),(alpha,beta,-gamma),(alpha,-beta,gamma):}]` is a orthogonal matrix then ………

`alpha=+-(1)/(sqrt(2))`

`beta=+-(1)/(sqrt(6))`

`gamma=+-(1)/(sqrt(3))`

Given all

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

MATRICES
KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK |28 Videos
MATRICES
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|48 Videos
MATRICES
KUMAR PRAKASHAN|Exercise PRACTICE WORK |55 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

If A=[{:(alpha,beta),(gamma,-alpha):}] is such that A^(2)=I , then ……

If p''(x) has real roots alpha,beta,gamma . Then , [alpha]+[beta]+[gamma] is

If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 Find the equations whose roots are (i) beta gamma +1/(alpha), gamma alpha+1/(beta), alpha beta+1/(gamma) (ii) (beta+gamma-alpha),(gamma+alpha-beta),(alpha+beta-gamma) Also find the valueof (beta+gamma-alpha)(gamma+alpha-beta)(alpha+beta-gamma)

If alpha,beta,gamma in R, alpha+beta+gamma=4 " and " alpha^(2)+beta^(2)+gamma^(2)=6 , the number of integers lie in the exhaustive range of alpha is ……… .

Explain alpha beta and gamma rays

If alpha,beta,gamma are the roots of x^(3)+2x^(2)-x-3=0 The value of |{:(alpha, beta ,gamma),(gamma,alpha ,beta),(beta,gamma ,alpha):}| is equal to

Using properties of determinants in Exercise 11 to 15 prove that |{:(alpha,alpha^2,beta+gamma),(beta,beta^2,gamma+alpha),(gamma,gamma^2,alpha+beta):}|=(beta-gamma)(gamma-alpha)(alpha+beta+gamma)(alpha-beta)

Prove that |((beta+gamma-alpha-delta)^4,(beta+gamma-alpha-delta)^2,1),((gamma+alpha-beta-delta)^4,(gamma+alpha-beta-delta)^2,1),((alpha+beta-gamma-delta)^4,(alpha+beta-gamma-delta)^2,1)|=-64(alpha-beta)(alpha-gamma)(alpha-delta)(beta-gamma)(beta-delta)(gamma-delta)

If alpha,beta,gamma be the angles which a line makes with the coordinates axes, then

KUMAR PRAKASHAN-MATRICES -TEXTBOOK BASED MCQS

If [{:(3,1,-1),(0,1,2):}] then AA ' is a ……… matrix.
Text Solution
|
If a matricx [{:(0,2beta,gamma),(alpha,beta,-gamma),(alpha,-beta,gamma...
Text Solution
|
If A=[{:(1,0,0),(0,1,0),(0,0,1):}] then A^(2)+2A= ……….
Text Solution
|
If A=[{:(2,-1),(2,1):}],B=[{:(a,1),(b,-1):}]and(A+B)^(2)=A^(2)+B^(2)+2...
Text Solution
|
If A=[{:(i,0),(0,i):}], n inN then A^(4n)=...... (where I is imaginar...
Text Solution
|
U=[2" "-3" "4],V=[{:(3),(2),(1):}] X=[0" "2" "3]and Y=[{:(2),(2),(4)...
Text Solution
|
If A is a square matrix then A - A' is a …… matrix.
Text Solution
|
For matrices A and B, A +B and AB are difined then ……
Text Solution
|
If A=[a" "b],B=[-b" "-a]andC=[{:(a),(-a):}] then out of the following...
Text Solution
|
If A(x)=[{:(cosx,-sinx),(sinx,cosx):}] then A((pi)/(2)).A(pi)= ………
Text Solution
|
If A=[{:(1,1),(1,1):}] then A^(100) ………
Text Solution
|
Matrix [{:(0,5,-7),(-5,0,11),(7,-11,0):}]is a ..... matrix.
Text Solution
|
Out of the following which statement is false ?
Text Solution
|
A matrix A has x rows and x+5 column . A matrix B has y rows and 11 -...
Text Solution
|
P=[{:((2)/(3),3k,a),(-(1)/(3),-4k,b),((2)/(3),-5k,c):}]If PP^(T)=I and...
Text Solution
|
C is a skew symmetric matrix of order n. X is a column matrix of order...
Text Solution
|
If A^(2)=A then (I+A)^(4)=.........
Text Solution
|
If AB=AandBA=B then A^(2)+B^(2)= ………..
Text Solution
|
If A is any square matrix then AA' is a ………. Matrix.
Text Solution
|
If A and B are square matrices of same order then (A^(-1)BA)^(n)= ………...
Text Solution
|