Matrices and Determinants

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A test from chapter 3 i.e Matrices and Determinants of Mathematics part 1. This is Free online test for FSc and Entry test Preparation for UET, NUST, FAST, GIKI, PIEAS, NFC, Punjab University, UHS, other Engineering Universities and Medical Colleges.

1. The equations x+2y+3z=1, x-y+4z=0, 2x+y+7z=1 have

A) only two solutions
B) only one solutions
C) no solutions
D) infinite solutions

2. If A is a square matrix, then AA' is a

A) skew-symmetric matrix
B) symmetric matrix
C) diagonal matrix
D) none of these

3. The inverse of symmetric matrix is

A) diagonal matrix
B) symmetric matrix
C) skew-symmetric matrix
D) none of these

4. If the system of linear equations
x+2ay+az=0
x+3by+bz=0
x+rcy+cz=0
has a non zero solution, then a,b,c

A) are in A.P
B) are in G.P
C) are in H.P
D) satify a+2b+3c+0

5. If AB=A and BA=B then B^2 is equal to

A) B
B) A
C) 1
D) 0

6. If the matrix AB is zero, then

A) It is not necessary that either A=0 or B=0
B) A=0 and B=0
C) A=0 or B=0
D) none of the above

7. If A is a singular matrix, then adj A is

A) non singular
B) singular
C) symmetric
D) not defined

8. If A is a square matrix, then

A) A+A' is symmetric
B) A+A' is skew symmetric
C) A-A' is skew symmetric
D) A and C

9. If A is symmetric as well as skew symmetric matrix, then A is

A) diagonal
B) null
C) triangular
D) none

10. Rank of identity matrix of order 3 is

A) 0
B) 1
C) 2
D) 3