- Is equal to the product of eigen values
- is always less than |A|
- is always greater than |A|
- is equal to the trace of A

Answer: Option 4

Explanation:

By definition, Trace of a square matrix = Sum of its diagonal elements = Sum of all its eigen values

Previous Question : If a row or coloumn of a matrix A undergoes transformation given by Ri+kRj or Ci+kCj respectively, t...

Next Question : In an under-determined (means No. of equations < No. of variables) system of Linear non-homogeneous ...

Click here for online test on Matrices

Next Question : In an under-determined (means No. of equations < No. of variables) system of Linear non-homogeneous ...

Click here for online test on Matrices

- For square matrices A,B,C and D, If AB=AC, then we can write B=C
- Given t(AB) = t(B) * t(A) where t stands for transpose, we can write-
- If the determinant of a matrix A is 1, then it is a-
- A = 0 i i 0 is a-
- A skew-symmetric matrix must-
- If A = 0 0 and B = 0 0 0 0 0 0 0 0 0 0 Then AB -
- Let A = 1 1 3 5 2 6 -2 -1 -3 It is seen that A^3 = 0. So, A is a-
- A = a1 a2 a3 b1 b2 b3 c1 c2 c3 Then, a1*cof(b1) + a2*cof(b2) + a3*cof(b3) =
- Let A,B,C,D,E be n*n matrices, each with non-zero determinant and ABCDE = I, where I = Identity matr...
- If a row or coloumn of a matrix A undergoes transformation given by Ri+kRj or Ci+kCj respectively, t...

Animals cannot have any high thoughts nor can the Angels or Devas attain to direct freedom without human birth.

-Swami Vivekananda