NDA || Mathematics || Matrices PYQ's || Quiz

The inverse of a diagonal matrix is a :

A square matrix [a_ij] such that a_ij = 0 for and a_ij = k where k is a constant for i = j is called :

Consider the following in respect of matrices A, B and C of same order :

1) (A + B + C)’ = A’ + B’ + C’

2) (AB)’ = A’B’

3) (ABC)’ = C’B’A’

where A’ is the transpose of the matrix A. Which of the above are correct?

Consider the following statements :

1) Every zero matrix is a square matrix.

2) A matrix has a numerical value.

3) A unit matrix is a diagonal matrix.

Which of the above statements is/are correct?

If A =and B=, then what is B^–1 A^–1 equal to?

What is the order of the product

[x y z] ?

A and B are two matrices such that AB = A and BA = B then what is B² equal to?

If a matrix A has inverses B and C, then which one of the following is correct?

If A is a matrix of order 3 × 5 and B is a matrix of order 5 × 3, then the order of AB and BA will respectively be

Let A and B be two matrices such that AB = A and BA = B. Which of the following statements are correct?

1) A² = A

2) B² = B

3) (AB)² = AB

Select the correct answer using the code given below :