Matrices

---

Question

---

Question 1 :

If A and B are two invertible matrices, then the inverse of AB is equal to

1. AB
2. BA
3. A^-1B^-1
4. B^-1A^-1
Answer
6887

Question 2 :

Consider the following statements in respect of a square matrix A and its transpose AT.

1. A + A^T is always symmetric.
2. A - A^T is always anti-symmetric

Which of the statements given above is/are correct?

1. Only I
2. Only II
3. Both I and II
4. Neither I nor II
Answer
6888

Question 3 :

The equation x + y - 2z = 0, 2x - 3y - z = 0, x - 5y + 4z = k consistent if K =

1. 1
2. -1
3. 0
4. Any real value
Answer
6889

Question 4 :

If A and B are two matrices such that AB = B and BA = A, then A² + B² is equal to:

1. 2AB
2. 2B^A
3. A + B
4. AB
Answer
6890

Question 5 :

If a matrix A is symmetric as well as skew-symmetric, then 

1. A is a diagonal matrix
2. A is a null matrix;
3. A is a unit matrix;
4. A is a triangular matrix;
Answer
6891