Case Study Questions on Matrices Class 12

Case Study Questions on Matrices Class 12

Case Study Questions on Matrices | Free Online Test for Class 12

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.

Mathematics Case Study

Case Study 3

Rohan is designing a robotic arm that must move in various directions based on coordinate instructions. To handle these instructions, he uses matrices to represent and process movement data. He performs addition, scalar multiplication, and matrix multiplication to determine the final position of the arm. During testing, he encounters situations where non-commutative multiplication leads to incorrect results if not carefully handled. To ensure safety and precision in his design, Rohan practices advanced operations on matrices and verifies results using matrix properties.

MCQ Questions:

1. What is the result of scalar multiplication \( 3 \times \begin{bmatrix} 2 & -1 \\ 0 & 4 \end{bmatrix} \)?

Solution: Scalar multiplication means multiplying each element by 3: \(3 \times 2 = 6\), \(3 \times -1 = -3\), etc.

2. What is the sum of matrices \( A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \) and \( B = \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix} \)?

Solution: Add corresponding elements: \(1+5=6\), \(2+6=8\), \(3+7=10\), \(4+8=12\).

3. Which operation is NOT always valid for any two matrices?

Solution: Multiplication of matrices is not always valid unless the number of columns in the first matrix equals the number of rows in the second.

4. The product of \( A = \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \) and \( B = \begin{bmatrix} 5 & 7 \\ 2 & 3 \end{bmatrix} \) is:

Solution: Multiplying by the identity matrix leaves the matrix unchanged.

5. If \( A = \begin{bmatrix} 1 & 2 \end{bmatrix} \) and \( B = \begin{bmatrix} 3 \\ 4 \end{bmatrix} \), then the product \( AB \) is:

Solution: \( AB = 1 \times 3 + 2 \times 4 = 3 + 8 = 11 \), resulting in a \(1 \times 1\) matrix.

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