This document contains a 20 question quiz on matrices and determinants. It covers topics like the properties of determinants, echelon form, rank, solutions to systems of linear equations, and Cramer's rule. The questions are multiple choice with one correct answer per question. An answer key is provided at the bottom to check the responses.

1. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 1
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CLASS
XI
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Composed by Engin Baştürk FEDERAL BOARD
TYPE Objective Matrices and Determinants No 4
Q1: Determinant of A is possible only when A is
………….
A) Symmetric Matrix B) Rectangular Matrix
C) Square matrix D) None of these
Q2: A is a square matrix, then t
A is equal to ………..
A) t
A B) A C) t
A D) A
Q3: The value of
cos 0 sin
1 1 0
sin 0 cos
   
 
is equal to ….
A) 0 B) 1 C) -1 D) 
Q4: A is a non-singular matrix then  1 t
A
is equal to
….
A) 1
A
B)  
1t
A

C) t
A D) None
Q5: The matrix
0 1 2 4
0 0 1 3
0 0 0 4
0 0 0 0
 
 
 
 
 
 
is ……………..
A) In reduced form B) In echelon form
C) In rank form D) In Identity form
Q6: The number of non-zero rows in the Echelon form
is called …………… of the matrix
A) Transpose B) Determinant
C) Rank D) Adjoint
Q7: The rank of
1 4 2
0 1 3
0 0 0
 
 
 
  
is equal to …….
A)1 B) 2 C) 3 D) 0
Q8: For what value of  the matrix
2 6 5
4 4 6
0 1
A

 
   
  
is
a singular matrix
A) 0 B) 1 C) -2 D) -1
Q9: The order of A is 4 4 then what will be the order
of 1
A
A) 5 5 B) 6 6 C) 4 4 D) None
Q10: If any two rows or columns of a square matrix A
interchanged then determinant will be equal to …………
A) A B) A C)
2
A D) A

2. PAKTURK Success is a ladder you cannot climb with your hands in your pockets 2
Q11: The product of  
a
c d
b
 
 
 
is equal to …..
A)  ab cd B)
ac ad
bc bd
 
 
 
C)  ac bd D) None of these
Q12: The solution set  0,0,0 is called ……….. for
homogeneous system of linear equations
A) Non-trivial B) Trivial
C) Unique D) Infinite
Q13: If a system , 0AX B B  is called ……. If it has
unique or infinite many solutions
A) Trivial B) Non-trivial
C) Consistent D) Inconsistent
Q14: The system of linear equations is said to be ….. if
it has no solution
A) Trivial B) Non-trivial
C) Consistent D) Inconsistent
Q15: Those equations whose solution is common are
called …………..
A) Quadratic Equations B) Linear Equations
C) Simultaneous Equations D) Homogeneous Equations
Q16: A system 0AX  has non-trivial solution if
…………
A) 0A  B) 0A 
C) A A D) A A 
Q17: C and D are two non singular matrices then
 
11 1
C D
 
is equal to …………
A) 1 1
D C 
B) CD C) DC D) 1 1
C D 
Q18: The ratio of the adjoint and determinant of non
singular matrix is ……………. of the matrix
A) Inverse B) Transpose
C) Co-factor D) None of these
Q19: Cramer’s Rules is applicable on AX B if ….
A) 0A  B) 0A  C) 0A  D) 0A 
Q20: The value of
1
1
1
y z x
z x y
x y z



is equal to ……
A) 1 B) 0 C) x y z  D) xyz
Answer Key
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