Case Study Questions on Matrices Class 12

Case Study Questions on Matrices Class 12

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Case Study Questions on Matrices – Free Online Practice

Case Study Questions on Matrices are an important part of CBSE Class 12 exams. These Case Study math questions for class 12 help students strengthen concepts through real-life applications. Moreover, solving math case study questions class 12 in online tests improves accuracy and time management. Therefore, regular practice ensures better performance in board exams.

Why Solve Math Case Study Questions Class 12?

Practicing math case study questions on matrices allows students to apply formulas effectively. In addition, online test series provide instant feedback for self-assessment. With step-by-step solutions, math case study questions class 12 enhance analytical skills and exam readiness. Furthermore, short practice sessions increase confidence for competitive exams.

Best Way to Prepare for Matrices Case Study Questions

Students should focus on NCERT exercises first. After that, they can attempt Case Study math questions for class 12 in free online tests. Since these practice sets follow CBSE guidelines, they cover important patterns of math case study questions. As a result, students gain conceptual clarity and improved problem-solving speed.

Case Study 2 – Matrices (Class 12)

In the age of digital technology, Ananya, a Class 12 student, takes up a challenging data science project as part of her school exhibition. The project requires her to analyse a large dataset containing information about students’ performance across different subjects. While exploring ways to systematically organise the data, she learns that matrices serve as an efficient tool to store, process and interpret information in tabular form.

As Ananya progresses, she discovers different types of matrices such as square matrices, rectangular matrices, identity matrices and zero matrices. She also realises that many computational techniques rely on determining whether a matrix is invertible or not. This motivates her to study properties like determinants, transpose, symmetric and skew-symmetric nature of matrices. By working through various examples, she understands how theoretical knowledge of matrices is applied in programming, machine learning, economics and network analysis. Her growing curiosity leads her to attempt several conceptual questions to strengthen her foundation.

1. Which of the following is a square matrix?

Solution:
A square matrix has equal rows and columns. Option (b) is a $2 \times 2$ square matrix.

2. The matrix $\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$ is called:

Solution:
A zero matrix has all entries equal to zero. Hence option (c) is correct.

3. Which of the following is NOT a type of matrix?

Solution:
“Rational matrix” is not a standard type in Class 12 mathematics; hence option (d) is correct.

4. For a matrix to be invertible, it must be:

Solution:
A matrix is invertible iff it is square and $\det(A) \neq 0$. Hence option (b) is correct.

5. Which of the following matrices is skew-symmetric?

Solution:
A matrix $A$ is skew-symmetric if $A^T = -A$. For option (a): $A = \begin{bmatrix} 0 & 5 \\ -5 & 0 \end{bmatrix},\ A^T = \begin{bmatrix} 0 & -5 \\ 5 & 0 \end{bmatrix} = -A$. Hence it is skew-symmetric.

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