- [A] m rows & n columns
- [B] n rows & m columns
- [C] both A & B
- [D] none of the above

**Answer:** Option [A]

Questions

1. The matrix is an arrangement of numbers in _________

- [A] m rows & n columns
- [B] n rows & m columns
- [C] both A & B
- [D] none of the above

**Answer:** Option [A]

2. The rank of the given matrix

- [A] 1
- [B] 2
- [C] 3
- [D] 0

**Answer:** Option [B]

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3. If A is then ρ(A) is _________.

- [A] 0
- [B] 1
- [C] 2
- [D] 3

**Answer:** Option [C]

4. If A is a singular matrix |A| is _________.

- [A] 0
- [B] 1
- [C] any positive value.
- [D] any negative value.

**Answer:** Option [A]

5. If A, B are two matrices and K is a scalar then _________.

- [A] K(A+B) ≠ KA+KB
- [B] K(A+B) = KA+KB
- [C] K(A+B) < KA+KB.
- [D] K(A+B) > KA+KB.

**Answer:** Option [B]

6. If A,B and C are matrices the associative property is _________.

- [A] (AB)C < A(BC).
- [B] (AB)C > A(BC).
- [C] (AB)C ≠ A(BC).
- [D] (AB)C = A(BC).

**Answer:** Option [D]

7. If Aand B are matrices of same order then ___________.

- [A] A+B = B+A.
- [B] A+B ≠ B+A.
- [C] A+B < B+A.
- [D] A+B > B+A.

**Answer:** Option [A]

8. When the number of rows and the number of columns of a matrix are equal, the matrix
is _________.

- [A] square matrix .
- [B] row matrix
- [C] column matrix.
- [D] none of these.

**Answer:** Option [A]

9. A diagonal matrix in which all the diagonal elements are equal is a _________.

- [A] scalar matrix.
- [B] column matrix.
- [C] unit matrix.
- [D] None of these.

**Answer:** Option [A]

10. If there is only one column in a matrix, it is called _________.

- [A] Row matrix .
- [B] column matrix.
- [C] square matrix.
- [D] rectangular matrix.

**Answer:** Option [B]

11. If the number of rows of a matrix is greater than the number of columns then the matrix is
called as __________

- [A] a row matrix.
- [B] a column matrix.
- [C] a rectangular matrix.
- [D] a square matrix.

**Answer:** Option [C]

12. A square matrix A is an orthogonal matrix x, if ________

- [A] AA
^{-1}= I - [B] AA
^{-1}= I - [C] A = A
^{-1} - [D] A = A
^{-1}

**Answer:** Option [B]