- 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...

What is important is to try to develop insights and wisdom rather than mere knowledge, respect someone's character rather than his learning, and nurture men of character rather than mere talents.

-Inazo Nitobe