- Unitary Matrix
- Identity Matrix
- Unit Matrix
- Orthogonal Matrix

Answer: Option 3

Explanation:

Though the determinant of all the above matrices is 1, simply having determinant equal to 1 is not a SUFFICIENT condition to have either Unitary, Identity or Orthogonal Matrix. It is just a NECESSARY condition required for each one of them( except the unit matrix for which this is a SUFFICIENT and NECESSARY condition).

Previous Question : Given t(AB) = t(B) * t(A)
where t stands for transpose, we can write-

Next Question : A = 0 i i 0 is a-

Click here for online test on Matrices

Next Question : A = 0 i i 0 is a-

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...

Approval is overrated...Approval and disapproval alike satisfy those who deliver it more than those who receive it. I don't care for approval, and I don't mind doing without.

-Gregory Maguire