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NCERT Solutions, Matrices, Part -4, Class 12, Maths PDF Download
Matrices
Exercise 3.4
Question 1: Find the inverse of each of the matrices, if it exists.
Answer
Question 2: Find the inverse of each of the matrices, if it exists.
Answer
Question 3: Find the inverse of each of the matrices, if it exists.
Answer
Question 4: Find the inverse of each of the matrices, if it exists.
Answer
Question 5: Find the inverse of each of the matrices, if it exists.
Answer
Question 6: Find the inverse of each of the matrices, if it exists.
Question 7: Find the inverse of each of the matrices, if it exists.
Question 8: Find the inverse of each of the matrices, if it exists.
Question 9: Find the inverse of each of the matrices, if it exists.
Answer
Question 10: Find the inverse of each of the matrices, if it exists.
Answer
Question 11: Find the inverse of each of the matrices, if it exists.
Answer
Question 12: Find the inverse of each of the matrices, if it exists.
Answer
Now, in the above equation, we can see all the zeros in the second row of the matrix on
the L.H.S.
Therefore, A−1 does not exist.
Question 13: Find the inverse of each of the matrices, if it exists.
Answer
Question 14: Find the inverse of each of the matrices, if it exists.
Answer
Now, in the above equation, we can see all the zeros in the first row of the matrix on the
L.H.S.
Therefore, A−1 does not exist.
Question 16: Find the inverse of each of the matrices, if it exists.
Answer
Question 17: Find the inverse of each of the matrices, if it exists.
Answer
Question 18: Matrices A and B will be inverse of each other only if
A. AB = BA
B. AB = BA = 0
C. AB = 0, BA = I
D. AB = BA = I
Answer: D
We know that if A is a square matrix of order m, and if there exists another square matrix
B of the same order m, such that AB = BA = I, then B is said to be the inverse of A. In
this case, it is clear that A is the inverse of B.
Thus, matrices A and B will be inverses of each other only if AB = BA = I.
FAQs on NCERT Solutions, Matrices, Part -4, Class 12, Maths
| 1. What are NCERT solutions? |  |
| 2. What is the significance of matrices in mathematics? | |
Ans. Matrices play a crucial role in various branches of mathematics and have wide applications in real-world scenarios. They are used to represent and manipulate data in fields such as physics, computer science, economics, and engineering. Matrices are useful in solving systems of linear equations, performing transformations, analyzing networks, and conducting statistical calculations. Their properties and operations provide a foundation for more advanced topics in linear algebra.
| 3. How can matrices be multiplied? | |
Ans. Matrices can be multiplied using the matrix multiplication rule. To multiply two matrices A and B, the number of columns in matrix A should be equal to the number of rows in matrix B. The resulting matrix will have the number of rows of matrix A and the number of columns of matrix B. The multiplication is performed by multiplying the corresponding elements of each row of matrix A with the corresponding elements of each column of matrix B and summing the products.
| 4. How do NCERT solutions help in exam preparation? | |
Ans. NCERT solutions provide step-by-step solutions to the questions given in the NCERT textbooks, which are recommended by the CBSE board for exam preparation. These solutions help students understand the concepts thoroughly and provide clarity on solving different types of problems. By practicing NCERT solutions, students can improve their problem-solving skills, gain confidence, and prepare effectively for their exams by familiarizing themselves with the question patterns and marking schemes.
| 5. How can I access NCERT solutions for Class 12 Mathematics? | |
Ans. NCERT solutions for Class 12 Mathematics can be accessed through various online platforms and educational websites. These solutions are available in PDF format, which can be downloaded and used offline for convenient studying. Additionally, NCERT textbooks also provide answers to select questions at the end of each chapter, which can serve as a starting point for understanding the concepts. Students can also refer to video tutorials and online forums for further assistance and clarification on specific topics.
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