Chapter 3 Matrices And Determinanls Math 11th Class Punjab MCQ Tests
11th Class Math Chapter 3 MCQ Tests
Chapter 3 of 11th Class Math has 50 questions. If you take an online MCQ test, the system will randomly choose the questions. If you want to take the quiz by chapter then click the start test button.
Total Questions: 50
Total Marks: 50
Time: 50 Mins
Total Questions: 50
Total Marks: 50
Time: 50 Mins
50Min : 00 Sec Remaining
Question # 1
Solve homogeneous system of equations, x − 2 y + 3 z = 0 ; 3 x − 7 y − 4 z = 0 ; 4 x − 4 y + z = 0.
Question # 2
where c is a real number.
Question # 3
Rule which provides method of solving determinants is classified as _____.
Question # 4
Simplify the equation:
Question # 5
Sum of the cost price of two products is $ 50 . Sum of the selling price of the same two products is $ 52 . If one is sold at 20 % profit and other one is sold at 20 % loss, find the cost price of each product.
Question # 6
If A is a square matrix of order 3 and | A | = − 2 , find the value of | − 3 A |.
Question # 7
Simply:
Question # 8
The age of a man is three times the sum of the ages of his two sons and 5 years hence his age will be double the sum of their ages. Find the present age of the man.
Question # 9
Two fifth grade classes are attending an amusement park as a field trip. Their teachers purchased the tickets for the class and the parent chaperones. Mrs. Armstrong purchased 1 adult ticket, which cost a total of $ 32 . Mr. Buchanan purchased 10 child tickets and 20 adult tickets, paying a total of $ 780 . The price of a child ticket is $ _____ and the price of an adult ticket is $_____.
Question # 10
Find the inverse of the matrix using Elementary Row Operations.
Question # 11
A pair of equations to determine value of 2 variables is called _____.
Question # 12
A group took a trip on a bus, at $ 3 per child and $ 3.20 per adult for a total of $ 118.40 . They took the train back at $ 3.50 per child and $ 3.60 per adult for a total of $ 135.20. Find the inverse of coefficient matrix.
Question # 13
Find the inverse of the following triangular matrix.
Question # 14
Solve
Question # 15
Simplify:
Question # 16
Find the inverse of the matrix R:
Question # 17
A boy scout troop is selling Christmas trees at a local tree lot. In the morning, they sold 22 Douglas Fir trees and 3 Noble Fir trees, earning a total of $ 910 . In the afternoon, they sold 1 Noble Fir tree, earning a total of $ 76 . A Douglas Fir costs $ _____ and a Noble Fir costs $ _____.
Question # 18
Find the adjoint of the following matrix :
Question # 19
A is a 2 × 3 matrix, B is a 3 × 2 matrix, C is a 3 × 3 matrix, D is a 2 × 2 matrix. Which of the following products does not exist?
Question # 20
Simplify the:
Question # 21
Find the Adjoint of :
Question # 22
Solve:-
Question # 23
Type of matrix determinant in which columns are rewritten and primary diagonals located is classified as determinant of _____.
Question # 24
For a matrix A , if a matrix B is obtained by changing its rows into columns and column into rows, then relation between A and B is _____.
Question # 25
Let I3 be the Identity matrix of order 3 then ( I 3 )−1 is equal to:
Question # 26
Type of matrix determinant in which value of one element contained in matrix is classified as determinant of _____.
Question # 27
Claire and Dale shopped at the same store. Claire bought 5 k g of apples and 2 k g of bananas and paid altogether $ 22 . Dale bought 4 k g of apples and 6 k g of bananas and paid altogether $33. Use matrices to find the inverse of coefficient matrix.
Question # 28
We can add two matrices having real numbers A and B if their _____ is/are same.
Question # 29
If A is non singular matrix, then A B = A C implies B = C.
Question # 30
If A , B and C matrices are of same order and ( A + B ) + C = A + ( B + C ) , this law is known as _____.
Question # 31
One number is greater than thrice the other number by 2 . If 4 times the smaller number exceeds the greater by 5 , find the numbers.
Question # 32
Find the determinant of the following matrix:
Question # 33
Simplify
Question # 34
Use Cramers rule to solve the system: 2 x + y + z = 3 ; x − y − z = 0 ; x + 2 y + z = 0.
Question # 35
Solve the following homogeneous system of equations:
Question # 36
A two digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the given number. Find the given number.
Question # 37
For a skew symmetric odd ordered matrix A of integers, which of the following will hold true?
Question # 38
Solve the following homogeneous system of linear equations, A = ?
Question # 39
Find the inverse of the matrix R = ?
Question # 40
Simplify:
Question # 41
If A is a square matrix of order 3 such that | A | = 5 , find | A a d j A |.
Question # 42
Consider the matrix X , shown below. Find the rank of this matrix.
Question # 43
Use Cramers rule to solve the system, 2 x1 − 5 x2 = 2 ; − 4 x 1 + 10 x 2 = 1.
Question # 44
Find the inverse of the matrix A = ?
Question # 45
Find the Inverse of ′ A ′ , if A using Elementary Row Operations.
Question # 46
Two fifth grade classes are attending an amusement park as a field trip. Their teachers purchased the tickets for the class and the parent chaperones. Mrs. Armstrong purchased 1 adult ticket, which cost a total of USD 32. Mr. Buchanan purchased 10 child tickets and 20 adult tickets, paying a total of $ 780 . The price of a child ticket is $ _____ and the price of an adult ticket is $_____.
Question # 47
In adjacency matrix, each node has one row and _____.
Question # 48
Solve the:
Question # 49
If determinants D , D x , D y and D z are given, D = 21 , D x = 21 , D y = 42 , D z = − 21 , then use Cramers rule to find the values of x , y and z.
Question # 50
According to determinant properties, determinant equals to zero if column is _____.
Total Questions
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950
Question # 1
Solve homogeneous system of equations, x − 2 y + 3 z = 0 ; 3 x − 7 y − 4 z = 0 ; 4 x − 4 y + z = 0.
Question # 2
where c is a real number.
Question # 3
Rule which provides method of solving determinants is classified as _____.
Question # 4
Simplify the equation:
Question # 5
Sum of the cost price of two products is $ 50 . Sum of the selling price of the same two products is $ 52 . If one is sold at 20 % profit and other one is sold at 20 % loss, find the cost price of each product.
Question # 6
If A is a square matrix of order 3 and | A | = − 2 , find the value of | − 3 A |.
Question # 7
Simply:
Question # 8
The age of a man is three times the sum of the ages of his two sons and 5 years hence his age will be double the sum of their ages. Find the present age of the man.
Question # 9
Two fifth grade classes are attending an amusement park as a field trip. Their teachers purchased the tickets for the class and the parent chaperones. Mrs. Armstrong purchased 1 adult ticket, which cost a total of $ 32 . Mr. Buchanan purchased 10 child tickets and 20 adult tickets, paying a total of $ 780 . The price of a child ticket is $ _____ and the price of an adult ticket is $_____.
Question # 10
Find the inverse of the matrix using Elementary Row Operations.
Question # 11
A pair of equations to determine value of 2 variables is called _____.
Question # 12
A group took a trip on a bus, at $ 3 per child and $ 3.20 per adult for a total of $ 118.40 . They took the train back at $ 3.50 per child and $ 3.60 per adult for a total of $ 135.20. Find the inverse of coefficient matrix.
Question # 13
Find the inverse of the following triangular matrix.
Question # 14
Solve
Question # 15
Simplify:
Question # 16
Find the inverse of the matrix R:
Question # 17
A boy scout troop is selling Christmas trees at a local tree lot. In the morning, they sold 22 Douglas Fir trees and 3 Noble Fir trees, earning a total of $ 910 . In the afternoon, they sold 1 Noble Fir tree, earning a total of $ 76 . A Douglas Fir costs $ _____ and a Noble Fir costs $ _____.
Question # 18
Find the adjoint of the following matrix :
Question # 19
A is a 2 × 3 matrix, B is a 3 × 2 matrix, C is a 3 × 3 matrix, D is a 2 × 2 matrix. Which of the following products does not exist?
Question # 20
Simplify the:
Question # 21
Find the Adjoint of :
Question # 22
Solve:-
Question # 23
Type of matrix determinant in which columns are rewritten and primary diagonals located is classified as determinant of _____.
Question # 24
For a matrix A , if a matrix B is obtained by changing its rows into columns and column into rows, then relation between A and B is _____.
Question # 25
Let I3 be the Identity matrix of order 3 then ( I 3 )−1 is equal to:
Question # 26
Type of matrix determinant in which value of one element contained in matrix is classified as determinant of _____.
Question # 27
Claire and Dale shopped at the same store. Claire bought 5 k g of apples and 2 k g of bananas and paid altogether $ 22 . Dale bought 4 k g of apples and 6 k g of bananas and paid altogether $33. Use matrices to find the inverse of coefficient matrix.
Question # 28
We can add two matrices having real numbers A and B if their _____ is/are same.
Question # 29
If A is non singular matrix, then A B = A C implies B = C.
Question # 30
If A , B and C matrices are of same order and ( A + B ) + C = A + ( B + C ) , this law is known as _____.
Question # 31
One number is greater than thrice the other number by 2 . If 4 times the smaller number exceeds the greater by 5 , find the numbers.
Question # 32
Find the determinant of the following matrix:
Question # 33
Simplify
Question # 34
Use Cramers rule to solve the system: 2 x + y + z = 3 ; x − y − z = 0 ; x + 2 y + z = 0.
Question # 35
Solve the following homogeneous system of equations:
Question # 36
A two digit number is seven times the sum of its digits. The number formed by reversing the digits is 18 less than the given number. Find the given number.
Question # 37
For a skew symmetric odd ordered matrix A of integers, which of the following will hold true?
Question # 38
Solve the following homogeneous system of linear equations, A = ?
Question # 39
Find the inverse of the matrix R = ?
Question # 40
Simplify:
Question # 41
If A is a square matrix of order 3 such that | A | = 5 , find | A a d j A |.
Question # 42
Consider the matrix X , shown below. Find the rank of this matrix.
Question # 43
Use Cramers rule to solve the system, 2 x1 − 5 x2 = 2 ; − 4 x 1 + 10 x 2 = 1.
Question # 44
Find the inverse of the matrix A = ?
Question # 45
Find the Inverse of ′ A ′ , if A using Elementary Row Operations.
Question # 46
Two fifth grade classes are attending an amusement park as a field trip. Their teachers purchased the tickets for the class and the parent chaperones. Mrs. Armstrong purchased 1 adult ticket, which cost a total of USD 32. Mr. Buchanan purchased 10 child tickets and 20 adult tickets, paying a total of $ 780 . The price of a child ticket is $ _____ and the price of an adult ticket is $_____.
Question # 47
In adjacency matrix, each node has one row and _____.
Question # 48
Solve the:
Question # 49
If determinants D , D x , D y and D z are given, D = 21 , D x = 21 , D y = 42 , D z = − 21 , then use Cramers rule to find the values of x , y and z.
Question # 50
According to determinant properties, determinant equals to zero if column is _____.
Total Questions
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950
Math MCQ Test by Topics
- +3.1 Introduction
- +3.1.1 Addition of Matrices
- +3.1.2 Scalar Multiplication
- +3.1.3 Subtraction of Matrices
- +3.1.4 Multiplication of two Matrices
- +3.2 Determinant of a 2 x 2 matrix
- +3.2.1 Singular and Non-Singular Matrices
- +3.2.2 Adjoint of a 2 x 2 Matrix
- +3.2.3 Inverse of a 2 x 2 Matrix
- +3.3 Solution of simultaneous linear equations by using matrices
- +3.1 Exercise
- +3.4 Field
- +3.5 Properties of Matrix Addition , Scalar Multiplication and Matrix Multiplication
- +3.2 Exercise
- +3.6 Determinants
- +3.6.1 Minor and Cofactor of an Element of a Matrix or its Determinant
- +3.6.2 Determinant of a Square Matrix of Order n>=3:
- +3.7 Properties of Determinants which Help in their Evaluation
- +3.8 Adjoint and Inverse of a Square Matrix of Order n>=3
- +3.3 Exercise
- +3.9 Elementary Row and Column Operations on a Matrix
- +3.10 Echelon and Reduced Echelon Forms of Matrices
- +3.4 Exercise
- +3.11 System of Linear Equations
- +3.11.1 Homogeneous Linear Equations
- +3.11.2 Non-Homogeneous Linear Equations
- +3.12 Cramers Rule
- +3.5 Exercise
Math
- Number Systems
- Sets, Functions and Groups
- Matrices and Determinanls
- Quadratic Equations
- Partial Fractions
- Sequences and Series
- Permutation, Combination and Probability
- Mathematical Inductions and Bionomial Theorem
- Fundamentals of Trigonometry
- Trigonometric Identities
- Trigonometric Functions and their Graphs
- Application of Trigonometry
- Inverse Trigonometric Functions
- Solution of Trignometric Equations
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