If `A=|[l^(2)-3,p,0],[0,m^(2)-8,0],[r,0,n^(2)-15]|` in a non- , singular idempotent,the value of `l^(2)+m^(2)+n^(2)` is
1) `1`
2) `26`
3) `29`
4)` 0 `

Let S be the set which contains all possible values of l ,m ,n ,p ,q ,r for which A=[[l^2-3,p,0],[0,m^2-8,q],[r,0,n^2-15]] be non-singular idempotent matrix. Then the sum of all the elements of the set S is ________.

If m = 1, n = 2 and p = -3, find the value of : 2mn^(4)-15m^(2)n+p

Let S be the set which contains all possible vaues fo I ,m ,n ,p ,q ,r for which A=[I^2-3p0 0m^2-8q r0n^2-15] be non-singular idempotent matrix. Then the sum of all the elements of the set S is ________.

If A = [[l_(1),m_(1),n_(1)],[l_(2),m_(2),n_(2)],[l_(3),m_(3),n_(3)]] then Find A+I

If l_(1), m_(1), n_(1), l_(2), m_(2), n_(2) and l_(3), m_(3), n_(3) are direction cosines of three mutuallyy perpendicular lines then, the value of |(l_(1),m_(1),n_(1)),(l_(2),m_(2),n_(2)),(l_(3),m_(3),n_(3))| is

If the direction cosines of two lines are (l_(1), m_(1), n_(1)) and (l_(2), m_(2), n_(2)) and the angle between them is theta then l_(1)^(2)+m_(1)^(2)+n_(1)^(2)=1=l_(2)^(2)+m_(2)^(2)+n_(2)^(2) and costheta = l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2) If the angle between the lines is 60^(@) then the value of l_(1)(l_(1)+l_(2))+m_(1)(m_(1)+m_(2))+n_(1)(n_(1)+n_(2)) is

If the direction cosines of two lines are (l_(1), m_(1), n_(1)) and (l_(2), m_(2), n_(2)) and the angle between them is theta then l_(1)^(2)+m_(1)^(2)+n_(1)^(2)=1=l_(2)^(2)+m_(2)^(2)+n_(2)^(2) and costheta = l_(1)l_(2)+m_(1)m_(2)+n_(1)n_(2) If l_(1)=1/sqrt(3), m_(1)=1/sqrt(3) then the value of n_(1) is equal to

The maximum number of electron inm n = 1,l = 0, m = 0,s= +- 1//2 is ……….

If l ,m ,n are the three positive roots of the equation x^3-a x^2+b x-48=0, then the minimum value of (1//l)+(2//m)+(3//n) equals a 1 b 2 c 3/2 d 5/2

The set of quantum numbers, n = 3, l = 2, m_(l) = 0