Maths Quiz About Matrices And Determinants
19 Questions
| Attempts: 5534
In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. For example, the dimension of the matrix below is 2 × 3, because there are two rows and three columns and the determinant is a scalar value that is a function of the entries of a square matrix. This is a Maths Quiz About Matrices and Determinants!
Questions and Answers
- 1.
If A is a scalar matrix with scalar , of order 3, then is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 2.
The matrix has an inverse then the values of (1) is any real number (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 3.
If , then (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 4.
If is a square matrix of order then is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 5.
The inverse of the matrix is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 6.
If is a matrix of order 3, then (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 7.
If is the unit matrix of order , where is a constant, then (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 8.If A and B are any two matrices such that AB=0 and A is non-singular, then (1) B=0 (2) B is singular (3) B is non-singular (4) B=A
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 9.
If , then is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 10.
Inverse of is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 11.
In a system of 3 liner non-homogeneous equation with three unknowns, if and , and then system has (1) unique solution (2) two solution (3) infinitely many solution (4) no solutions
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 12.
The system of equations ax+y+z=0; x+by+z=0; x+y+cz=0 has a non-trivial solution then (1) 1 (2) 2 (3) -1 (4) 0
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 13.
If and ; , then the value of (x, y) is (1) (2) (3) (4)
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 14.If the equation -2x+y+z=l; x-2y+z=m; x+y-2z=n such that l+m+n=0, then the system has (1) a non-zero unique solution (2) trivial solution (3) Infinitely many solution (4) No solution
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 15.
The rank of the diagonal matrix
- A.
3
- B.
2
- C.
0
- D.
5
- 16.
If , then rank of is
- A.
1
- B.
2
- C.
3
- D.
0
- 17.
If , then the rank of is
- A.
3
- B.
0
- C.
1
- D.
2
- 18.
If the rank of the matrix is 2, then is
- A.
1
- B.
2
- C.
3
- D.
Any real number
- 19.
The rank of the matrix is
- A.
1
- B.
2
- C.
3
- D.
4
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