Mathematics · JEE

Online Practice: Matrices and Determinants for JEE

32+ syllabus-aligned questions available

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Goodmarks provides free online JEE practice for Matrices and Determinants with 32+ MCQs, instant answer checking, and full solutions. Sign up to unlock the complete question bank and topic-wise filters.

Sharpen your mathematics preparation with interactive online practice for Matrices and Determinants. Goodmarks offers 32+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

Subtopics in Matrices and Determinants

Matrices, algebra of matrices, type of matrices
Determinants and matrices of order two and three
Evaluation of determinants
Area of triangles using determinants
Adjoint and inverse of a square matrix
Test of consistency and solution of simultaneous linear equations in two or three variables using matrices

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Q1MathsUnit 3: Matrices and Determinants

STATEMENT 1: In a

\Delta A B C, a, b, c

denotes lengths of the sides and

\left|\begin{array}{lll}\boldsymbol{a} & \boldsymbol{b} & \boldsymbol{c} \\ \boldsymbol{b} & \boldsymbol{c} & \boldsymbol{a} \\ \boldsymbol{c} & \boldsymbol{a} & \boldsymbol{b}\end{array}\right|=\mathbf{0}

then the triangle is equilateral triangle. STATEMENT 2: Sum of three non- negative numbers

=0 \Rightarrow

each number is zero.

Q2MathsUnit 3: Matrices and Determinants

\boldsymbol{A}=\left[\begin{array}{ccc}\mathbf{1} & \mathbf{1} & \mathbf{1} \\ \mathbf{1} & \mathbf{1}+\boldsymbol{x} & \mathbf{1} \\ \mathbf{1} & \mathbf{1} & \mathbf{1}+\boldsymbol{y}\end{array}\right]

for

\boldsymbol{x} \neq

\mathbf{0}, \boldsymbol{y} \neq \mathbf{0},

then

\boldsymbol{D}

is:

Q3MathsUnit 3: Matrices and Determinants

2 a=b,

the pair of equations

a x+

b y=2 a^{2}-3 b^{2}, x+2 y=2 a-6 b

possess

Q4MathsUnit 3: Matrices and Determinants

The addition of two numbers is

-72 .

If one number is thrice the another number. Find the greater number

Q5MathsUnit 3: Matrices and Determinants

Solve the following equations by substitution method.

\boldsymbol{x}=\mathbf{2} \boldsymbol{y}-\mathbf{1} ; \boldsymbol{y}=\mathbf{2} \boldsymbol{x}-\mathbf{7}

Q6MathsUnit 3: Matrices and Determinants

\left[\begin{array}{lll}0 & 0 & 0\end{array}\right]

is an example of

Q7MathsUnit 3: Matrices and Determinants

Dashrath and Naresh are friends ,Naresh is 2 years younger than Dashrath.If the sum of their age is 56 years, find their present age.

Q8MathsUnit 3: Matrices and Determinants

Consider the following statements: 1. Determinant is a square matrix. 2. Determinant is a number associated with a square matrix. Which of the above statements is/are correct?

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Frequently asked questions

How do I practice Matrices and Determinants online for JEE?

Open this page, attempt the free sample MCQs, then sign up on Goodmarks to access the full Matrices and Determinants question bank with topic filters and detailed explanations.

How many Matrices and Determinants questions are available?

Goodmarks currently has 32+ JEE-aligned MCQs for Matrices and Determinants, with more added regularly.

Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Matrices, algebra of matrices, type of matrices, Determinants and matrices of order two and three, Evaluation of determinants, Area of triangles using determinants, and more.

Do I get solutions after each question?

Every question includes the correct answer and a step-by-step explanation. Free users can practise a random mix; Pro unlocks full subject and topic filters.