Business Mathematics - Questions and Answers for Competitive Exams | GkSeries

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]

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]