Let a,b,c be positive real numbers with ...

Let a,b,c be positive real numbers with abc=1 let A `=[{:(a,b,c),(b,c,a),(c,a,b):}] if A ^(T) A =I` where ` A^(T)` is the transpose of A and I is the identity matrix , then determine the value of `a^(2) +b^(2)+c^(2) `

AI Generated Solution

Similar Questions

Explore conceptually related problems

Let a, b, c be positive numbers, then the minimum value of (a^4+b^4+c^2)/(abc)

For two 3xx3 matrices A and B, let A+B=2B' and 3A+2B=I_3 where B' is the transpose of B and I_3 is 3xx3 identity matrix, Then:

If A=[(a,b,c),(b,c,a),(c,a,b)],abc=1,A^(T)A=l, then find the value of a^(3)+b^(3)+c^(3).

Consider a matrix A=[(0,1,2),(0,-3,0),(1,1,1)]. If 6A^(-1)=aA^(2)+bA+cI , where a, b, c in and I is an identity matrix, then a+2b+3c is equal to

If a, b, and c are integers, then number of matrices A=[(a,b,c),(b,c,a),(c,a,b)] which are possible such that A A^(T)=I is _______.

If a, b, c are positive real numbers, then the least value of (a+b+c)((1)/(a)+(1)/(b)+(1)/( c )) , is

If matrix A =[{:( a,b,c),(b,c,a),(c,a,b) :}] where a,b,c are real positive number ,abc =1 and A^(T) A = I then Which of the following is/are true

If a, b, c are positive real numbers such that a+b+c=1 , then the greatest value of (1-a)(1-b)(1-c), is

If a,b,c are positive real numbers such that a + b +c=18, find the maximum value of a^2b^3c^4