 # NCERT Solutions for CBSE Class 12 Mathematics ‒ Chapter 3: Matrices (Part VIII)

NCERT Solutions for Class 12 Maths, Chapter 3 Matrices are available here. With this article, students will get the detailed explanations of exercise 3.3 from question number 6 to question number 12. These questions can be asked in CBSE Class 12 Maths board exam & other competitive exams. NCERT Solutions for CBSE Class 12th Mathematics, Chapter 3: Matrices are available here. In this article, you will get detailed explanations of exercise 3.3 (from question number 7 to question number 12). These questions are related to operations on concepts related to: Transpose of a Matrix, Properties of transpose of the matrices, Symmetric and Skew Symmetric Matrices. These questions are also important for Class 12 Maths board exam 2018 and other engineering entrance exams like JEE Mains, JEE Advanced etc.

NCERT Solutions for CBSE Class 12th Maths, Chapter 3: Matrices (Exercise 3.3) from question number 7 to 12 are given below:

Question 7: Solution 7: Question 8: Solution 8: Question 9: Solution 9: Question 10: Solution 10:   Question 11: If A, B are symmetric matrices of same order, then ABBA is a

(A) Skew symmetric matrix

(B) Symmetric matrix

(C) Zero matrix

(D) Identity matrix

Solution 11:

A and B are symmetric matrices,

A’ = A

B’ = B

(ABBA)’ = (AB)’ ‒ (BA)’ = BA’ ‒ AB’ = BAAB = ‒ (ABBA)

Therefore, AB ‒ BA is a skew-symmetric matrix.  